nLab model structure on internal categories

Idea

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Related concepts

• canonical model structure

• model structure on enriched categories

References

Categories internal to  toposes:

• André Joyal, Myles Tierney, Thm. 4 (p. 232) of: Strong stacks and classifying spaces, in: Category Theory Lecture Notes in Mathematics 1488, Springer (1991) 213-236 [doi:10.1007/BFb0084222]

Categories internal to a site with finite limits:

• Tomas Everaert, Rudger W. Kieboom, Tim van der Linden, Model structures for homotopy of internal categories, Theory and Applications of Categories 15:3 (2005) 66-94. tac:15-03, EuDML:125875.

Categories internal to simplicial sets (see simplicial object in Cat):

• Geoffroy Horel, A model structure on internal categories in simplicial sets, Theory and Applications of Categories 30:20 (2015), 704-750. arXiv, TAC.