Fibrations and cofibrations in a stratified model category
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...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543324325806080 |
|---|---|
| author | Spalinski, Jan |
| author_facet | Spalinski, Jan |
| author_sort | Spalinski, Jan |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-21T07:55:00Z |
| description | 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. |
| first_indexed | 2025-12-02T15:28:40Z |
| format | Article |
| id | admjournalluguniveduua-article-910 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:28:40Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9102018-03-21T07:55:00Z Fibrations and cofibrations in a stratified model category Spalinski, Jan Stratified model category, \(n\)-acyclic cofibration, \(n\)-acyclic fibration 55U35 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910 Algebra and Discrete Mathematics; Vol 5, No 4 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910/439 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Stratified model category \(n\)-acyclic cofibration \(n\)-acyclic fibration 55U35 Spalinski, Jan Fibrations and cofibrations in a stratified model category |
| title | Fibrations and cofibrations in a stratified model category |
| title_full | Fibrations and cofibrations in a stratified model category |
| title_fullStr | Fibrations and cofibrations in a stratified model category |
| title_full_unstemmed | Fibrations and cofibrations in a stratified model category |
| title_short | Fibrations and cofibrations in a stratified model category |
| title_sort | fibrations and cofibrations in a stratified model category |
| topic | Stratified model category \(n\)-acyclic cofibration \(n\)-acyclic fibration 55U35 |
| topic_facet | Stratified model category \(n\)-acyclic cofibration \(n\)-acyclic fibration 55U35 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910 |
| work_keys_str_mv | AT spalinskijan fibrationsandcofibrationsinastratifiedmodelcategory |