Weak equivalences of simplicial presheaves

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The usual way of defining weak equivalences for simplicial presheaves is to require an isomorphism on all sheaves of homotopy groups. We unravel some of the machinery here, and give a more concrete description in terms of local homotopy lifting properties. This characterization is used to prove some basic facts about the local homotopy theory of simplicial presheaves.

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Algebraic Topology, 55U35,18F20

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http://salesiana.dossiersoluciones.com/handle/123456789/63967

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205025
 http://arxiv.org/abs/math/0205025

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arXiv