## SEMISTRICT TAMSAMANI N-GROUPOIDS AND CONNECTED N-TYPES (2007)

Citations: | 5 - 1 self |

### BibTeX

@MISC{PAOLI07semistricttamsamani,

author = {SIMONA PAOLI},

title = {SEMISTRICT TAMSAMANI N-GROUPOIDS AND CONNECTED N-TYPES },

year = {2007}

}

### OpenURL

### Abstract

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 Tamsamani’s weak n-groupoids and cat n−1-groups as models of connected n-types.

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Citation Context ...roduced, obtaining an internal weak n-groupoid. 3. Tamsamani’s model. We recall the definition of Tamsamani’s weak n-category and Tamsamani’s weak n-groupoid. We follow closely the treatment given in =-=[24]-=-; see also [22], [23]. The category Wn of Tamsamani’s weak n-categories can be defined inductively as follows. For n = 1, let W1 = Cat. A morphism in W1 is a 1equivalence if it is an equivalence of ca... |

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