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Representing cohomology of a sheaf à la Eilenberg-Maclane

Sheaf cohomology over $X$ is representable in the homotopy category of oo-stacks over X / spaces over X, yes. Details, links and references are at http://ncatlab.org/nlab/show/cohomology
Urs Schreiber's user avatar
4 votes

When is a stack (NOT) geometric?

One problem -- or at least one characteristic aspect -- of the notion of geometric stack is of course that it makes explcit reference to a fixed chosen site. Different sites may give rise to equivalen …
Urs Schreiber's user avatar