Hypercovers in topology
Algebraic Topology
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0111287,
title = {Hypercovers in topology},
author = {Daniel Dugger and Daniel C. Isaksen},
journal= {arXiv preprint arXiv:math/0111287},
year = {2007}
}
Comments
20 pages