Geodesic
Fibrations and cofibrations in a stratified model category
Algebra and discrete mathematics, no. 4 (2006), pp. 112-125 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Stratified model category, $n$-acyclic cofibration, $n$-acyclic fibration. 
@article{ADM_2006_4_a7,
     author = {Jan Spali\'nski},
     title = {Fibrations and cofibrations in a~stratified model category},
     journal = {Algebra and discrete mathematics},
     pages = {112--125},
     year = {2006},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2006_4_a7/}
}
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Jan Spaliński. Fibrations and cofibrations in a stratified model category. Algebra and discrete mathematics, no. 4 (2006), pp. 112-125. http://geodesic.mathdoc.fr/item/ADM_2006_4_a7/