Simplicial Sets from Categories.
D.M. Latch, R.W. Thomason, W.S. Wilson (1978/79)
Mathematische Zeitschrift
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Displaying similar documents to “Weak Homotopy Category of a Category with a Cotriple.”
Simplicial Sets from Categories.
The Homotopy Category of Spectra. III.
Dan Burghelea, Aristide Deleanu (1968/69)
Mathematische Zeitschrift
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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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Abstract homotopy theory in procategories
Timothy Porter (1976)
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...
Homotopy colimits in presheaf categories
Murray Heggie (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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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Homotopy Inverses for Nerve.
Rudolf Fritsch, Dana May Latch (1981)
Mathematische Zeitschrift
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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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Generalized Brown representability in homotopy categories.
Rosický, Jiří (2005)
Theory and Applications of Categories [electronic only]
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Some relations between shape constructions
Friedrich W. Bauer (1978)
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. ...