Fibrations and cofibrations in a stratified model category

• Datum: 2018
• 1. Verfasser: Spalinski, Jan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Stratified model category; \(n\)-acyclic cofibration; \(n\)-acyclic fibration; 55U35
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910
• Назва журналу: Algebra and Discrete Mathematics

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 homoto...