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 |
| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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.
|
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| ISSN: | 1726-3255 |