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Chapitre D'ouvrage Année : 2007

Batanin higher groupoids and homotopy types

Résumé

We prove that any homotopy type can be recovered canonically from its associated weak ω-groupoid. This implies that the homotopy category of CW-complexes can be embedded in the homotopy category of Batanin's weak higher groupoids.
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Dates et versions

hal-00440915 , version 1 (13-12-2009)

Identifiants

  • HAL Id : hal-00440915 , version 1

Citer

Denis-Charles Cisinski. Batanin higher groupoids and homotopy types. A. Davydov et al. Categories in algebra, geometry and mathematical physics, Contemporary Mathematics, Volume 431, American Mathematical Society, pp.171-186, 2007, Contemporary Mathematics, Volume 431. ⟨hal-00440915⟩
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