Batanin higher groupoids and homotopy types

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We prove that any homotopy type can be recovered canonically from its associated weak omega-groupoid. This implies that the homotopy category of CW-complexes can be embedded in the homotopy category of Batanin's weak higher groupoids.
Notes from a lecture at the Streetfest

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Algebraic Topology, Category Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/145672

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604442
 http://arxiv.org/abs/math/0604442
 in Categories in algebra, geometry and mathematical physics, 171--186, Contemp. Math., 431, Amer. Math. Soc., Providence, RI, 2007.

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arXiv