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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Дата: | 2006 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157394 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1573942019-06-21T01:27:48Z Fibrations and cofibrations in a stratified model category Spalinski, J. 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. 2006 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/157394 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Spalinski, J. |
spellingShingle |
Spalinski, J. Fibrations and cofibrations in a stratified model category Algebra and Discrete Mathematics |
author_facet |
Spalinski, J. |
author_sort |
Spalinski, J. |
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 |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2006 |
url |
http://dspace.nbuv.gov.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. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT spalinskij fibrationsandcofibrationsinastratifiedmodelcategory |
first_indexed |
2023-05-20T17:52:04Z |
last_indexed |
2023-05-20T17:52:04Z |
_version_ |
1796154276519608320 |