Ilias, Amrani Model structure on the category of small topological categories. (English) Zbl 1408.18037 J. Homotopy Relat. Struct. 10, No. 1, 63-70 (2015). Summary: We give a short proof of the existence of a cofibrantly generated Quillen model structure on the category of small topologically enriched categories, obtained by a transfer from Bergner’s model structure on simplicially enriched categories. Cited in 1 ReviewCited in 3 Documents MSC: 18G55 Nonabelian homotopical algebra (MSC2010) 18B30 Categories of topological spaces and continuous mappings (MSC2010) Keywords:model categories; \(\infty \)-categories × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Amrani, I.: Categories simpliciales enrichies et K-Theorie de Waldhausen. PhD thesis (2010) · Zbl 1064.18009 [2] Berger, C., Moerdijk, I.: Axiomatic homotopy theory for operads. Comment. Math. Helvetici 78(4) (2003) · Zbl 1041.18011 [3] Berger, C., Moerdijk, I.: On the homotopy theory of enriched categories (preprint, arXiv:1201.2134, 2012) · Zbl 1282.18006 [4] Bergner, J.E.: A model category structure on the category of simplicial categories. Trans. Am. Math. Soc. 359(5), 2043 (2007) · Zbl 1114.18006 · doi:10.1090/S0002-9947-06-03987-0 [5] Drinfeld, V.: Dg quotients of dg categories. J. Algebra 272(2), 643-691 (2004) · Zbl 1064.18009 · doi:10.1016/j.jalgebra.2003.05.001 [6] Fritsch, R., Piccinini, R.: Cellular Structures in Topology, vol. 19. Cambridge University Press, Cambridge (1990) · Zbl 0837.55001 [7] Tabuada, G.: A new quillen model for the Morita homotopy theory of dg categories. (arxiv, preprint math/0701205, 2007) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.