Batanin higher groupoids and homotopy types

Denis-Charles Cisinski

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arXiv · math/0604442

Batanin higher groupoids and homotopy types

Denis-Charles Cisinski

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Abstract

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.

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Denis-Charles Cisinski. 2006-04-20. Batanin higher groupoids and homotopy types. https://arxiv.org/abs/math/0604442

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