arXiv math/07016552007-01math.ATmath.CT

Semistrict Tamsamani n-groupoids and connected n-types

Simona Paoli

备注：: 77 pages. The paper has undergone major revision from the previous version to improve its presentation. There have been various structural changes, background and informal discussion sections added, and some improvements in the proofs

英文摘要：

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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英文摘要：

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