n-Fold groupoids, n-types and n-track categories

Details n-Fold groupoids, n-types and n-track categories n-Fold groupoids, n-types and n-track categories

2012-04-23

arxiv.org/abs/1204.5101v1

Mathematics

Algebraic Topology

34 pages

Scientific paper

For each n\geq 1 we introduce a certain class of n-typical n-fold groupoids
which model all n-types of topological spaces. We use these to provide an
algebraic model for n-track categories, that is, categories enriched in
n-types. We give an application to the homotopy type of iterated loop spaces.

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