Fibrations and cofibrations in a stratified model category

• Date: 2018
• Main Author: Spalinski, Jan
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Stratified model category; \(n\)-acyclic cofibration; \(n\)-acyclic fibration; 55U35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910
• Journal Title: 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...