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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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Finiteness of cohomology with finite coefficients

It is natural (I think) to expect that the cohomology group $H^i(S,G)$ is finite. But with respect to which cohomology? … What if we use fppf cohomology? Can $H^i_{fppf}(S,G)$ be infinite? …
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