BibTeX
@INPROCEEDINGS{Jardine09cocyclecategories,
author = {J. F. Jardine},
title = {Cocycle categories},
booktitle = {In Algebraic Topology},
year = {2009},
pages = {185--218},
publisher = {Springer}
}
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Abstract
Suppose that G is a sheaf of groups on a space X and that Uα ⊂ X is an open covering. Then a cocycle for the covering is traditionally defined to be a family of elements gαβ ∈ G(Uα ∩ Uβ) such that gαα = e and gαβgβγ = gαγ when all elements are restricted to the group G(Uα ∩ Uβ ∩ Uγ).
