Fibrations and cofibrations in a stratified model category

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2006
• 1. Verfasser: Spalinski, J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157394
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Fibrations and cofibrations in a stratified model category / J. Spalinski // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 112–125. — Бібліогр.: 6 назв. — англ.

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 c...