Semistrict Tamsamani n-groupoids and connected n-types

Details Semistrict Tamsamani n-groupoids and connected n-types Semistrict Tamsamani n-groupoids and connected n-types

2007-01-23

arxiv.org/abs/math/0701655v2

Mathematics

Algebraic Topology

77 pages. The paper has undergone major revision from the previous version to improve its presentation. There have been variou

Scientific paper

Tamsamani's weak n-groupoids are known to model n-types. In this paper we
show that every Tamsamani weak n-groupoid representing a connected n-type is
equivalent in a suitable way to a semistrict one. We obtain this result by
comparing Tasmamani's weak n-groupoids and cat^(n-1)-groups as models of
connected n-types.

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