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Geometric topology
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111
Table of contents
111
1. 3-manifolds
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Geometric topology
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1.1. (−2,3,7) pretzel knot
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3-manifolds
1.2. Berge knot
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3-manifolds
1.3. Compression body
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3-manifolds
1.4. Dehn's lemma
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3-manifolds
1.5. Ehrenpreis conjecture
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3-manifolds
1.6. Ending lamination theorem
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3-manifolds
1.7. Finite type invariant
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3-manifolds
1.8. Geometric topology (object)
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3-manifolds
1.9. Hantzsche–Wendt manifold
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3-manifolds
1.10. Horosphere
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3-manifolds
1.11. Hyperbolic 3-manifold
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3-manifolds
1.12. Hyperbolic Dehn surgery
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1.13. Hyperbolic link
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3-manifolds
1.14. Incompressible surface
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3-manifolds
1.15. JSJ decomposition
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3-manifolds
1.16. Kleinian group
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3-manifolds
1.17. Lens space
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3-manifolds
1.18. Meyerhoff manifold
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3-manifolds
1.19. Normal surface
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1.20. P2-irreducible manifold
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1.21. Picard horn
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3-manifolds
1.22. Pleated surface
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3-manifolds
1.23. Pretzel link
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3-manifolds
1.24. Prime decomposition of 3-manifolds
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3-manifolds
1.25. Property P conjecture
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3-manifolds
1.26. Ricci flow
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3-manifolds
1.27. Scott core theorem
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1.28. Seifert–Weber space
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1.29. Smith conjecture
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3-manifolds
1.30. Solid Klein bottle
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3-manifolds
1.31. Solid torus
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3-manifolds
1.32. Surface bundle over the circle
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3-manifolds
1.33. Surface subgroup conjecture
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3-manifolds
1.34. The geometry and topology of three-manifolds
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3-manifolds
1.35. Thurston elliptization conjecture
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3-manifolds
1.36. Virtually Haken conjecture
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3-manifolds
1.37. Virtually fibered conjecture
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3-manifolds
1.38. Weeks manifold
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3-manifolds
2. 4-manifolds
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Geometric topology
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2.1. Algebraic surfaces
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4-manifolds
2.2. Complex surfaces
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4-manifolds
2.3. Capped grope
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4-manifolds
2.4. Exotic R4
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4-manifolds
2.5. Seiberg–Witten invariants
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4-manifolds
2.6. Taubes's Gromov invariant
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4-manifolds
3. Maps of manifolds
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Geometric topology
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3.1. Riemannian submersion
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Maps of manifolds
3.2. Submersion (mathematics)
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Maps of manifolds
4. 2-sided
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Geometric topology
5. 3-manifold
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Geometric topology
6. 4-manifold
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Geometric topology
7. 5-manifold
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Geometric topology
8. Alexander's trick
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Geometric topology
9. Alexander horned sphere
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Geometric topology
10. Annulus theorem
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Geometric topology
11. Bing's recognition theorem
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Geometric topology
12. Bing shrinking
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Geometric topology
13. Blaschke selection theorem
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Geometric topology
14. Borromean rings
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Geometric topology
15. Boundary parallel
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Geometric topology
16. Boy's surface
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Geometric topology
17. Branched surface
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Geometric topology
18. Casson handle
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Geometric topology
19. Casson invariant
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Geometric topology
20. Cellular decomposition
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Geometric topology
21. Clifford torus
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Geometric topology
22. Crumpled cube
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Geometric topology
23. Dehn twist
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Geometric topology
24. Dogbone space
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Geometric topology
25. Double suspension theorem
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Geometric topology
26. E8 manifold
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Geometric topology
27. Fake 4-ball
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Geometric topology
28. Geometrization conjecture
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Geometric topology
29. Gieseking manifold
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Geometric topology
30. Handle decomposition
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Geometric topology
31. Heegaard splitting
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Geometric topology
32. Hsiang–Lawson's conjecture
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Geometric topology
33. I-bundle
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Geometric topology
34. Intersection form of a 4-manifold
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Geometric topology
35. Introduction to 3-Manifolds
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Geometric topology
36. JTS Topology Suite
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Geometric topology
37. Kirby calculus
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Geometric topology
38. Klein bottle
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Geometric topology
39. Lantern relation
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Geometric topology
40. List of geometric topology topics
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Geometric topology
41. Loop theorem
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Geometric topology
42. Manifold decomposition
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Geometric topology
43. Mapping class group
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Geometric topology
44. McShane's identity
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Geometric topology
45. Moise's theorem
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Geometric topology
46. Nielsen realization problem
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Geometric topology
47. Nielsen–Thurston classification
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Geometric topology
48. PDIFF
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Geometric topology
49. Piecewise linear manifold
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Geometric topology
50. Poincaré conjecture
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Geometric topology
51. Real projective plane
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Geometric topology
52. Ropelength
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Geometric topology
53. Seifert fiber space
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Geometric topology
54. Side-approximation theorem
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Geometric topology
55. Signature (topology)
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Geometric topology
56. Slam-dunk
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Geometric topology
57. Sphere theorem (3-manifolds)
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Geometric topology
58. Spherical space form conjecture
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Geometric topology
59. Surface bundle
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Geometric topology
60. Symplectic filling
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Geometric topology
61. Torus bundle
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Geometric topology
62. Trigenus
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Geometric topology
63. Tubular neighborhood
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Geometric topology
64. Whitney disk
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Geometric topology
65. Wild arc
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Geometric topology
1. 3-manifolds
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Geometric topology
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1.1. (−2,3,7) pretzel knot
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3-manifolds
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1.2. Berge knot
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3-manifolds
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1.3. Compression body
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3-manifolds
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1.4. Dehn's lemma
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3-manifolds
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1.5. Ehrenpreis conjecture
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3-manifolds
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1.6. Ending lamination theorem
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3-manifolds
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1.7. Finite type invariant
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3-manifolds
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1.8. Geometric topology (object)
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3-manifolds
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1.9. Hantzsche–Wendt manifold
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3-manifolds
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1.10. Horosphere
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3-manifolds
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1.11. Hyperbolic 3-manifold
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3-manifolds
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1.12. Hyperbolic Dehn surgery
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3-manifolds
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1.13. Hyperbolic link
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3-manifolds
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1.14. Incompressible surface
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3-manifolds
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1.15. JSJ decomposition
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3-manifolds
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1.16. Kleinian group
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3-manifolds
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1.17. Lens space
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3-manifolds
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1.18. Meyerhoff manifold
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3-manifolds
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1.19. Normal surface
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3-manifolds
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1.20. P2-irreducible manifold
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3-manifolds
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1.21. Picard horn
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3-manifolds
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1.22. Pleated surface
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3-manifolds
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1.23. Pretzel link
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3-manifolds
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1.24. Prime decomposition of 3-manifolds
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3-manifolds
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1.25. Property P conjecture
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3-manifolds
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1.26. Ricci flow
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3-manifolds
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1.27. Scott core theorem
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3-manifolds
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1.28. Seifert–Weber space
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3-manifolds
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1.29. Smith conjecture
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3-manifolds
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1.30. Solid Klein bottle
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1.31. Solid torus
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3-manifolds
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1.32. Surface bundle over the circle
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3-manifolds
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1.33. Surface subgroup conjecture
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3-manifolds
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1.34. The geometry and topology of three-manifolds
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3-manifolds
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1.35. Thurston elliptization conjecture
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3-manifolds
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1.36. Virtually Haken conjecture
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3-manifolds
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1.37. Virtually fibered conjecture
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3-manifolds
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1.38. Weeks manifold
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3-manifolds
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2. 4-manifolds
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Geometric topology
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2.1. Algebraic surfaces
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4-manifolds
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2.2. Complex surfaces
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4-manifolds
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2.3. Capped grope
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4-manifolds
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2.4. Exotic R4
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4-manifolds
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2.5. Seiberg–Witten invariants
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4-manifolds
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2.6. Taubes's Gromov invariant
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4-manifolds
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3. Maps of manifolds
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Geometric topology
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3.1. Riemannian submersion
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Maps of manifolds
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3.2. Submersion (mathematics)
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Maps of manifolds
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4. 2-sided
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Geometric topology
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5. 3-manifold
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Geometric topology
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6. 4-manifold
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Geometric topology
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7. 5-manifold
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Geometric topology
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8. Alexander's trick
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Geometric topology
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9. Alexander horned sphere
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Geometric topology
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10. Annulus theorem
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Geometric topology
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11. Bing's recognition theorem
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Geometric topology
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12. Bing shrinking
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Geometric topology
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13. Blaschke selection theorem
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Geometric topology
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14. Borromean rings
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Geometric topology
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15. Boundary parallel
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Geometric topology
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16. Boy's surface
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Geometric topology
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17. Branched surface
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Geometric topology
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18. Casson handle
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Geometric topology
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19. Casson invariant
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Geometric topology
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20. Cellular decomposition
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Geometric topology
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21. Clifford torus
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Geometric topology
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22. Crumpled cube
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Geometric topology
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23. Dehn twist
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Geometric topology
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24. Dogbone space
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Geometric topology
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25. Double suspension theorem
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Geometric topology
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26. E8 manifold
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Geometric topology
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27. Fake 4-ball
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Geometric topology
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28. Geometrization conjecture
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Geometric topology
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29. Gieseking manifold
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Geometric topology
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30. Handle decomposition
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Geometric topology
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31. Heegaard splitting
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Geometric topology
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32. Hsiang–Lawson's conjecture
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Geometric topology
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33. I-bundle
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Geometric topology
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34. Intersection form of a 4-manifold
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Geometric topology
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35. Introduction to 3-Manifolds
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Geometric topology
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36. JTS Topology Suite
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Geometric topology
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37. Kirby calculus
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Geometric topology
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38. Klein bottle
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Geometric topology
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39. Lantern relation
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Geometric topology
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40. List of geometric topology topics
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Geometric topology
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41. Loop theorem
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Geometric topology
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42. Manifold decomposition
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Geometric topology
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43. Mapping class group
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Geometric topology
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44. McShane's identity
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Geometric topology
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45. Moise's theorem
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Geometric topology
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46. Nielsen realization problem
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Geometric topology
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47. Nielsen–Thurston classification
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Geometric topology
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48. PDIFF
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Geometric topology
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49. Piecewise linear manifold
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Geometric topology
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50. Poincaré conjecture
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Geometric topology
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51. Real projective plane
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Geometric topology
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52. Ropelength
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Geometric topology
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53. Seifert fiber space
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Geometric topology
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54. Side-approximation theorem
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Geometric topology
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55. Signature (topology)
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Geometric topology
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56. Slam-dunk
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Geometric topology
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57. Sphere theorem (3-manifolds)
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Geometric topology
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58. Spherical space form conjecture
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Geometric topology
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59. Surface bundle
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Geometric topology
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60. Symplectic filling
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Geometric topology
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61. Torus bundle
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Geometric topology
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62. Trigenus
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Geometric topology
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63. Tubular neighborhood
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Geometric topology
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64. Whitney disk
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Geometric topology
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65. Wild arc
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Geometric topology
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Ancestors
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Fields of mathematics
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