A homotopy-theoretic universal property of Leinster's operad for weak ω-categories
نویسندگان
چکیده
منابع مشابه
A Homotopy-theoretic Universal Property of Leinster’s Operad for Weak Ω-categories
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.
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2009
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s030500410900259x