Homology, Homotopy and Applications

Volume 10 (2008)

Number 1

Cofibrant objects among higher-dimensional categories

Pages: 181 – 203

DOI: https://dx.doi.org/10.4310/HHA.2008.v10.n1.a7

Author

François Métayer (Équipe PPS, Université Denis Diderot, Paris, France)

Abstract

We define a notion of cofibration among $\infty$-categories and show that the cofibrant objects are exactly the free ones, that is, those generated by polygraphs.

Keywords

$n$-category, polygraph, fibration, cofibration

2010 Mathematics Subject Classification

18D05

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Published 1 January 2008