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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2006
1. Verfasser: Spalinski, J.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2006
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/157394
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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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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
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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