Hypercovers in topology

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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.
20 pages

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Algebraic Topology, 55U35

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http://salesiana.dossiersoluciones.com/handle/123456789/62746

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111287
 http://arxiv.org/abs/math/0111287

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arXiv