A Homotopy-theoretic universal property of Leinster's operad for weak ω-categories | Macquarie University ResearchOnline

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Title: A Homotopy-theoretic universal property of Leinster's operad for weak ω-categories
Related: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 147, Issue 3 (2009), p.615-628
DOI: 10.1017/S030500410900259X
Publisher: Cambridge University Press
Date: 2009
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Garner, Richard
Description: 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 ω-categories, showing that the universal and canonical cofibrant replacement of the operad for strict ω-categories is precisely Leinster's operad for weak ω-categories.
Description: 14 page(s)
Subject Keyword: 010100 Pure Mathematics
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

Identifier: http://hdl.handle.net/1959.14/119157
Identifier: ISSN:1469-8064
Identifier: mq-rm-2010000362
Language: eng
Rights: 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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