Heller's axioms for homotopy theory
Jerome William Hoffman (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Jerome William Hoffman (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Schwede, Stefan, Shipley, Brooke (2003)
Algebraic & Geometric Topology
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Marek Golasiński (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Antonio R. Garzon, Jesus G. Miranda (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Neeman, Amnon, Ranicki, Andrew (2004)
Geometry & Topology
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Hans Scheerer, Daniel Tanré (1991)
Publicacions Matemàtiques
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Let S be the category of r-reduced simplicial sets, r ≥ 3; let L be the category of (r-1)-reduced differential graded Lie algebras over Z. According to the fundamental work [3] of W.G. Dwyer both categories are endowed with closed model category structures such that the associated tame homotopy category of S is equivalent to the associated homotopy category of L. Here we embark on a study of this equivalence and its implications. In particular, we show how to compute homology, cohomology,...
Levine, Marc (2007)
Documenta Mathematica
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Johnson, Mark W. (2010)
Theory and Applications of Categories [electronic only]
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R. W. Thomason (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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. ...