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Algebra and Discrete Mathematics, 2006, Issue 4, Pages 112–125 (Mi adm283)  
RESEARCH ARTICLE

Fibrations and cofibrations in a stratified model category

Jan Spaliński

Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00–661 Warsaw, Poland
Full-text PDF (230 kB)
Abstract: We introduce $n$-acyclic cofibrations and $n$-acyclic fibrations in a stratified model category and show that they have the key properties of (acyclic) cofibrations and (acyclic) fibrations in a model category. We analyse their action on sets of homotopy classes and give an application to homotopy colimits and limits.
Keywords: Stratified model category, $n$-acyclic cofibration, $n$-acyclic fibration.
Received: 04.04.2006
Revised: 07.04.2007
Bibliographic databases:
Document Type: Article
MSC: 55U35
Language: English
Citation: Jan Spaliński, “Fibrations and cofibrations in a stratified model category”, Algebra Discrete Math., 2006, no. 4, 112–125
Citation in format AMSBIB
\Bibitem{Spa06}
\by Jan~Spali{\'n}ski
\paper Fibrations and cofibrations in a~stratified model category
\jour Algebra Discrete Math.
\yr 2006
\issue 4
\pages 112--125
\mathnet{http://mi.mathnet.ru/adm283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2319412}
\zmath{https://zbmath.org/?q=an:1114.55009}
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