Mapping spaces in Quasi-categories

Details Mapping spaces in Quasi-categories Mapping spaces in Quasi-categories

2009-11-03

arxiv.org/abs/0911.0469v1

Mathematics

Algebraic Topology

Scientific paper

We apply the Dwyer-Kan theory of homotopy function complexes in model categories to the study of mapping spaces in quasi-categories. Using this, together with our work on rigidification from [DS1], we give a streamlined proof of the Quillen equivalence between quasi-categories and simplicial categories. Some useful material about relative mapping spaces in quasi-categories is developed along the way.

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