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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
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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