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 homotopy c...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157394 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-157394 |
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Spalinski, J. 2019-06-20T03:12:39Z 2019-06-20T03:12:39Z 2006 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. 1726-3255 2000 Mathematics Subject Classification: 55U35. https://nasplib.isofts.kiev.ua/handle/123456789/157394 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Fibrations and cofibrations in a stratified model category Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Fibrations and cofibrations in a stratified model category |
| spellingShingle |
Fibrations and cofibrations in a stratified model category Spalinski, J. |
| 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 |
| author |
Spalinski, J. |
| author_facet |
Spalinski, J. |
| publishDate |
2006 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157394 |
| citation_txt |
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. |
| work_keys_str_mv |
AT spalinskij fibrationsandcofibrationsinastratifiedmodelcategory |
| first_indexed |
2025-12-07T13:10:13Z |
| last_indexed |
2025-12-07T13:10:13Z |
| _version_ |
1850855143168278528 |