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Title: n-Fold groupoids, n-types and n-track categories
Authors: Blanc, David
Paoli, Simona
First Published: 18-Jun-2014
Citation: arXix:1204.5101
Abstract: For each n ≥ 1, we introduce two new Segal-type models of ntypes of topological spaces: weakly globular n-fold groupoids, and a lax version of these. We show that any n-type can be represented up to homotopy by such models via an explicit algebraic fundamental n-fold groupoid functor. We compare these models to Tamsamani’s weak n-groupoids, and extract from them a model for (k − 1)-connected n-types.
DOI Link: 10.2140/agt.2014.14.3419
Version: Pre-print
Status: Peer-reviewed
Type: Journal Article
Description: 1991 Mathematics Subject Classification. 55S45; 18G50, 18B40
Appears in Collections:Published Articles, Dept. of Mathematics

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