A characterization of fibrant Segal categories

Details A characterization of fibrant Segal categories A characterization of fibrant Segal categories

2006-03-16

arxiv.org/abs/math/0603400v2

Mathematics

Algebraic Topology

7 pages, proof of Prop. 3.1 corrected, final version to appear in Proceedings of the AMS

Scientific paper

In this note we prove that Reedy fibrant Segal categories are fibrant objects in the model category structure SeCat_c. Combining this result with a previous one, we thus have that the fibrant objects are precisely the Reedy fibrant Segal categories. We also show that the analogous result holds for Segal categories which are fibrant in the projective model structure on simplicial spaces, considered as objects in the model structure SeCat_f.

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