Un théorème A de Quillen pour les 2-foncteurs lax

Jonathan Chiche

We generalize Quillen's Theorem A to triangles of lax 2-functors which commute up to transformation. It follows from a special case of this result that 2-categories are models for homotopy types.

Keywords: homotopy theory, 2-categories, Quillen's Theorem A

2010 MSC: 18D05, 18G55, 55U35

Theory and Applications of Categories, Vol. 30, 2015, No. 4, pp 49-85.

Published 2015-01-29.


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