A characterization of fibrant Segal categories
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- by Julia E. Bergner PDF
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Abstract:
In this note we prove that Reedy fibrant Segal categories are fibrant objects in the model category structure $\mathcal {SC}_c$. 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 $\mathcal {SC}_f$.References
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Additional Information
- Julia E. Bergner
- Affiliation: Kansas State University, 138 Cardwell Hall, Manhattan, Kansas 66506
- MR Author ID: 794441
- Email: bergnerj@member.ams.org
- 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
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 4031-4037
- MSC (2000): Primary 55U35; Secondary 18G30
- DOI: https://doi.org/10.1090/S0002-9939-07-08924-1
- MathSciNet review: 2341955