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A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction with the tags group-cohomology, etale-cohomology, sheaf-cohomology, galois-cohomology, lie-algebra-cohomology, motivic-cohomology, equivariant-cohomology, ...

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The homology of the universal covering space, why so difficult to compute

There is then no obstruction to choosing a $G$-equivariant map $$f: EG \times K(\mathbb{Q},2) \to K(\mathbb{Q},4)$$ representing the cohomology class $k$, since the relevant cohomology group agrees with … the $G$-equivariant cohomology group, under our assumption. …
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