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

Published online by Cambridge University Press:  22 May 2009

RICHARD GARNER
RICHARD GARNER*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Wilberforce Road, Cambridge CB3 0WB. e-mail: rhgg2@cam.ac.uk
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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 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 3 , November 2009 , pp. 615 - 628
Copyright
Copyright © Cambridge Philosophical Society 2009

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