Homotopy colimits in presheaf categories
Murray Heggie (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Abstract homotopy theory in procategories”
Homotopy colimits in presheaf categories
Weak cofibrations in categories of cofibrant objects.
Kieboom, R.W., Sonck, G., Van der Linden, T., Witbooi, P.J. (2003)
Homology, Homotopy and Applications
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Heller's axioms for homotopy theory
Jerome William Hoffman (1996)
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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Simplicial and categorical diagrams, and their equivariant applications.
Fritsch, Rudolf, Golasiński, Marek (1998)
Theory and Applications of Categories [electronic only]
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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. ...
Cat as a closed model category
R. W. Thomason (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Fibrations in the Category of Absolute Neighborhood Retracts
Takahisa Miyata (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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The category Top of topological spaces and continuous maps has the structures of a fibration category and a cofibration category in the sense of Baues, where fibration = Hurewicz fibration, cofibration = the usual cofibration, and weak equivalence = homotopy equivalence. Concentrating on fibrations, we consider the problem: given a full subcategory 𝓒 of Top, is the fibration structure of Top restricted to 𝓒 a fibration category? In this paper we take the special case where 𝓒 is the...
Generalized Brown representability in homotopy categories.
Rosický, Jiří (2005)
Theory and Applications of Categories [electronic only]
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Closed model categories for -types.
Extremiana Aldana, J.Ignazio, Hernández Paricio, L.Javier, Rivas Rodríguez, M.Teresa (1997)
Theory and Applications of Categories [electronic only]
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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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