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
Автор: Spalinski, J.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2006
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
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