2006/03/16 by Julia E. Bergner, Bergner, Julia E. · 1 citation
Mathematics · Medicine · #18G30 #55U35 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders
paper · pdf · doi:10.48550/arxiv.math/0603400
openalex publication_date 2006/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we prove that Reedy fibrant Segal categories are fibrant objects in the model category structure SeCatc. 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 SeCatf.