Fibrations and homotopy colimits of simplicial sheaves

Author name not available (Why is that?)

Abstract: We show that homotopy pullbacks of sheaves of simplicial sets over a Grothendieck topology distribute over homotopy colimits; this generalizes a result of Puppe about topological spaces. In addition, we show that inverse image functors between categories of simplicial sheaves preserve homotopy pullback squares. The method we use introduces the notion of a sharp map, which is analogous to the notion of a quasi-fibration of spaces, and seems to be of independent interest.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Fibrations and homotopy colimits of simplicial sheaves

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6501090)