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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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-03-21T07:55:00Z |
| collection |
OJS |
| language |
English |
| topic |
Stratified model category \(n\)-acyclic cofibration \(n\)-acyclic fibration 55U35 |
| spellingShingle |
Stratified model category \(n\)-acyclic cofibration \(n\)-acyclic fibration 55U35 Spalinski, Jan Fibrations and cofibrations in a stratified model category |
| topic_facet |
Stratified model category \(n\)-acyclic cofibration \(n\)-acyclic fibration 55U35 |
| format |
Article |
| author |
Spalinski, Jan |
| author_facet |
Spalinski, Jan |
| author_sort |
Spalinski, Jan |
| title |
Fibrations and cofibrations in a stratified model category |
| title_short |
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_sort |
fibrations and cofibrations in a stratified model category |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/910 |
| work_keys_str_mv |
AT spalinskijan fibrationsandcofibrationsinastratifiedmodelcategory |
| first_indexed |
2025-07-17T10:30:41Z |
| last_indexed |
2025-07-17T10:30:41Z |
| _version_ |
1837889833833332736 |