A homotopy-theoretic universal property of Leinster's operad for weak -categories

Richard Garner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
7 Downloads (Pure)

Abstract

We explain how any cofibrantly generated weak factorisation system on a category may be equipped with a universally and canonically determined choice of cofibrant replacement. We then apply this to the theory of weak -categories, showing that the universal and canonical cofibrant replacement of the operad for strict -categories is precisely Leinster's operad for weak -categories.

Original languageEnglish
Pages (from-to)615-628
Number of pages14
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume147
Issue number3
DOIs
Publication statusPublished - Nov 2009
Externally publishedYes

Bibliographical note

Copyright [2009] Cambridge Philosophical Society. Published by Cambridge University Press. Article originally published in [Garner R. "A Homotopy-theoretic universal property of Leinster's operad for weak ω-categories." Math. Proc. Camb. Phil. Soc. (2009), 147, 615]. The original article can be found at [http://dx.doi.org/10.1017/S030500410900259X].

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