Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A characterization of fibrant Segal categories

Author: Julia E. Bergner
Journal: Proc. Amer. Math. Soc. 135 (2007), 4031-4037
MSC (2000): Primary 55U35; Secondary 18G30
Published electronically: August 29, 2007
MathSciNet review: 2341955
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Abstract: In this note we prove that Reedy fibrant Segal categories are fibrant objects in the model category structure $ \mathcal{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 that are fibrant in the projective model structure on simplicial spaces, considered as objects in the model structure $ \mathcal{SeCat}_f$.

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Julia E. Bergner
Affiliation: Kansas State University, 138 Cardwell Hall, Manhattan, Kansas 66506

Received by editor(s): May 2, 2006
Received by editor(s) in revised form: August 30, 2006
Published electronically: August 29, 2007
Communicated by: Paul Goerss
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.