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arxiv: math/0701655 · v2 · submitted 2007-01-23 · 🧮 math.AT · math.CT

Semistrict Tamsamani n-groupoids and connected n-types

classification 🧮 math.AT math.CT
keywords connectedn-groupoidsn-typestamsamaniweaksemistrictcomparingequivalent
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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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