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

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

2008-04-16

arxiv.org/abs/0804.2663v2

Mathematical Proceedings of the Cambridge Philosophical Society 147 (2009), no. 3, pages 615--628

Mathematics

Category Theory

14 pages; v2: final journal version

Scientific paper

10.1017/S030500410900259X

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 omega-categories, showing that the universal and canonical cofibrant replacement of the operad for strict omega-categories is precisely Leinster's operad for weak omega-categories.

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