Simplicial torsors

Tibor Beke

The interpretation by Duskin and Glenn of abelian sheaf cohomology as connected components of a category of torsors is extended to homotopy classes. This is simultaneously an extension of Verdier's version of Cech cohomology to homotopy.

Keywords: torsors, simplicial sheaves, calculus of fractions, Grothendieck toposes.

2000 MSC: 18G30, 55U35.

Theory and Applications of Categories, Vol. 9, 2001, No. 3, pp 43-60.

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