Title: A characterization of fibrant Segal categories

Author: Julia E. Bergner

Author's email address: bergnerj@member.ams.org

AMS Classification: 55U35, 18G30

arXiv submission number: math.AT/0603400

Author's address: Kansas State University 138 Cardwell Hall
Manhattan, KS 66506

Abstract: 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.