9 citations · 15 across the 6 of their papers we have counts for
Showing 2001 · math.ATShow all
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math.AT2001
Hypercovers in topology
Daniel Dugger, Daniel C. Isaksen
We show that if U is a hypercover of a topological space X then the natural map from hocolim U to X is a weak equivalence. This fact is used to construct topological realization fu…
math.AT2001
Strict model structures for pro-categories
Daniel C. Isaksen
We show that C if is a proper model category, then the pro-category pro-C has a strict model structure in which the weak equivalences are the levelwise weak equivalences. The stric…
math.AT2001
A model structure on the category of pro-simplicial sets
Daniel C. Isaksen
We study the category pro-SSet of pro-simplicial sets, which arises in etale homotopy theory, shape theory, and pro-finite completion. We establish a model structure on pro-SSet so…