Cat as a closed model category
R. W. Thomason (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Heller's axioms for homotopy theory”
Cat as a closed model category
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Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Homotopy colimits in presheaf categories
Murray Heggie (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Inverting weak dihomotopy equivalence using homotopy continuous flow.
Gaucher, Philippe (2006)
Theory and Applications of Categories [electronic only]
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Homotopy cofibrations in
Murray Heggie (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A suspension theorem for the proper homotopy and strong shape theories
C. Elvira-Donazar, L. J. Hernandez-Paricio (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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The left derived tensor product of valued diagrams
Murray Heggie (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Non functorial cylinders in a model category
J. García-Calcines, P. García-Díaz, S. Rodríguez-Machín (2006)
Open Mathematics
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Taking cylinder objects, as defined in a model category, we consider a cylinder construction in a cofibration category, which provides a reformulation of relative homotopy in the sense of Baues. Although this cylinder is not a functor we show that it verifies a list of properties which are very closed to those of an I-category (or category with a natural cylinder functor). Considering these new properties, we also give an alternative description of Baues’ relative homotopy groupoids. ...