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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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Table of (integral) cohomology groups of K(Z,n)

Of course, the homology computation gives the cohomology computation immediately. … .$$ Since you know the integral cohomology of $K(\mathbb{Z},2)$ with its ring structure, and since the spectral sequences play well with the ring structure, it is not a difficult exercise to compute $H …
Benjamin Antieau's user avatar