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Results tagged with cohomology
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user 58888
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, ...
9
votes
Generalized cohomology of CW complex is direct limit?
In general, no. Assuming, say, that the structure maps $SE_n\to E_{n+1}$ are inclusions, the correct statement is
$$
E^n(X) \cong [X,\lim_k \Omega^k E_{n+k}],
$$
and if $X$ is not compact that is not …
- 2,062