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On bifibrations of model categories

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Publication:2189485
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DOI10.1016/j.aim.2020.107205zbMath1454.18004arXiv1709.10484OpenAlexW3025699667MaRDI QIDQ2189485

Pierre Cagne, Paul-André Melliès

Publication date: 15 June 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10484


zbMATH Keywords

model categoriesReedy categoriesGrothendieck bifibrations


Mathematics Subject Classification ID

Fibered categories (18D30) Homotopical algebra, Quillen model categories, derivators (18N40) Simplicial sets, simplicial objects (18N50)


Related Items (2)

Homotopy theory of stratified spaces ⋮ MULTIPLICATIVE PARAMETRIZED HOMOTOPY THEORY VIA SYMMETRIC SPECTRA IN RETRACTIVE SPACES



Cites Work

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  • Bifibrations and weak factorisation systems
  • On an extension of the notion of Reedy category
  • Mixing model structures
  • Model category structures in bifibred categories
  • The Frobenius condition, right properness, and uniform fibrations
  • The Grothendieck construction for model categories
  • Homotopical algebra




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