Cohomology Theory
A cohomology group is a mathematical structure that captures information about the shape and features of a topological space, providing a dual perspective to homology groups. It serves as an algebraic tool to study topological properties and enables operations such as the cup product, revealing deeper insights into the relationships between different spaces. Cohomology groups also exhibit properties like homotopy invariance and can be computed using various theories, including Alexandrov-Čech cohomology.
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