Batanin higher groupoids and homotopy types

Details Batanin higher groupoids and homotopy types Batanin higher groupoids and homotopy types

2006-04-20

arxiv.org/abs/math/0604442v1

in Categories in algebra, geometry and mathematical physics, 171--186, Contemp. Math., 431, Amer. Math. Soc., Providence, RI,

Mathematics

Algebraic Topology

Notes from a lecture at the Streetfest

Scientific paper

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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