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2016 Fibration categories are fibrant relative categories
Lennart Meier
Algebr. Geom. Topol. 16(6): 3271-3300 (2016). DOI: 10.2140/agt.2016.16.3271

Abstract

A relative category is a category with a chosen class of weak equivalences. Barwick and Kan produced a model structure on the category of all relative categories, which is Quillen equivalent to the Joyal model structure on simplicial sets and the Rezk model structure on simplicial spaces. We will prove that the underlying relative category of a model category or even a fibration category is fibrant in the Barwick–Kan model structure.

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Lennart Meier. "Fibration categories are fibrant relative categories." Algebr. Geom. Topol. 16 (6) 3271 - 3300, 2016. https://doi.org/10.2140/agt.2016.16.3271

Information

Received: 20 April 2015; Revised: 1 April 2016; Accepted: 28 April 2016; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1353.18010
MathSciNet: MR3584258
Digital Object Identifier: 10.2140/agt.2016.16.3271

Subjects:
Primary: 18D99, 55U10, 55U35

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.16 • No. 6 • 2016
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