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Weak factorizations, fractions and homotopies

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Publication:2487462
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DOI10.1007/s10485-004-6730-zzbMath1077.18002OpenAlexW1989152718WikidataQ114227534 ScholiaQ114227534MaRDI QIDQ2487462

Alexander Kurz, Jiří Rosický

Publication date: 5 August 2005

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.chapman.edu/engineering_articles/24


zbMATH Keywords

homotopycategory of fractionsweak factorization systembisimilarity


Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)


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History-preserving bisimilarity for higher-dimensional automata via open maps ⋮ On combinatorial model categories ⋮ Approximate injectivity ⋮ Left determined model structures for locally presentable categories ⋮ Cellular categories



Cites Work

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  • Constructions of factorization systems in categories
  • Weak factorization systems and topological functors
  • Bisimulation from open maps
  • Homotopical algebra
  • Homotopy theory of modules and Gorenstein rings
  • Sheafifiable homotopy model categories
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