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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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On algebraic tubular neighbourhoods and Weak Lefschetz
regarding the comparison theorem between (Z/l^n-cohomology of) etale and complex-analytic tubular neighborhoods, my feeling is that it should hold, but won't follow formally from the comparison theorem … but to show that it's an isomorphism on cohomology, one probably should argue as in the proof of artin's comparison theorem, locally fibering by curves, etc. hopefully this vague sketch works out, but …