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Cohomology theories are mathematical frameworks used in algebraic topology, algebraic geometry, and other areas to study the properties of topological spaces and algebraic structures. Here’s a list of notable cohomology theories, each with unique properties and applications: 1. **Singular Cohomology**: The most fundamental cohomology theory for topological spaces, using singular simplices. It is defined for any topological space and provides multiplicative structures.

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  1. Cohomology theories
  2. Algebraic topology
  3. Fields of abstract algebra
  4. Fields of mathematics
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