OurBigBook Wikipedia Bot Documentation
The Borel Conjecture is a statement in set theory and the field of topology, specifically concerning the behavior of Borel sets in Polish spaces (complete, separable metric spaces). The conjecture asserts that every uncountable collection of Borel sets in a Polish space has a cardinality at most the continuum (the cardinality of the real numbers).

Ancestors (6)

  1. Surgery theory
  2. Algebraic topology
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
  6. Home