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 -categories, showing that the universal and canonical cofibrant replacement of the operad for strict -categories is precisely Leinster's operad for weak -categories.
|Number of pages||14|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - Nov 2009|