Generalized Brown representability in homotopy categories.
Rosický, Jiří (2005)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Model structures for homotopy of internal categories.”
Generalized Brown representability in homotopy categories.
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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. ...