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arXiv · 1204.5101

Segal-type algebraic models of n-types

David Blanc·Simona Paoli
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Abstract

For each n\geq 1 we introduce two new Segal-type models of n-types 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

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David Blanc, Simona Paoli. 2014-06-17. Segal-type algebraic models of n-types. https://doi.org/10.2140/agt.2014.14.3419

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