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 g...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862616848727539712 |
|---|---|
| author | Spalinski, J. |
| author_facet | Spalinski, J. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T13:10:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157394 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:10:13Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Fibrations and cofibrations in a stratified model category Spalinski, J. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157394 |
| work_keys_str_mv | AT spalinskij fibrationsandcofibrationsinastratifiedmodelcategory |