Hypercovers in topology

Details Hypercovers in topology Hypercovers in topology

2001-11-27

arxiv.org/abs/math/0111287v1

Mathematics

Algebraic Topology

20 pages

Scientific paper

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 functors for the A^1-homotopy theory of schemes over
real and complex fields.

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