Complete Segal spaces arising from simplicial categories

Details Complete Segal spaces arising from simplicial categories Complete Segal spaces arising from simplicial categories

2007-04-12

arxiv.org/abs/0704.1624v2

Mathematics

Algebraic Topology

22 pages, a few minor revisions made; final version to appear in Transactions of the AMS

Scientific paper

In this paper, we compare several functors which take simplicial categories
or model categories to complete Segal spaces, which are particularly nice
simplicial spaces which, like simplicial categories, can be considered to be
models for homotopy theories. We then give a characterization, up to weak
equivalence, of complete Segal spaces arising from these functors.

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