Yuriy Drozd (2004)
Open Mathematics
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This is a survey of the results on stable homotopy types of polyhedra of small dimensions, mainly obtained by H.-J. Baues and the author [3, 5, 6]. The proofs are based on the technique of matrix problems (bimodule categories).
Timothy Porter (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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David Blanc (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Grandis, Marco (2001)
Theory and Applications of Categories [electronic only]
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Francisco Díaz, Sergio Rodríguez-Machín (2006)
Open Mathematics
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Generally, in homotopy theory a cylinder object (or, its dual, a path object) is used to define homotopy between morphisms, and a cone object is used to build exact sequences of homotopy groups. Here, an axiomatic theory based on a cone functor is given. Suspension objects are associated to based objects and cofibrations, obtaining homotopy groups referred to an object and relative to a cofibration, respectively. Exact sequences of these groups are built. Algebraic and particular examples...
Dundas, Bjørn Ian, Röndigs, Oliver, Østvær, Paul Arne (2003)
Documenta Mathematica
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Peter Mrozik (1990)
Fundamenta Mathematicae
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Thomason, R.W. (1995)
Theory and Applications of Categories [electronic only]
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Mandell, Michael A. (2010)
Documenta Mathematica
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C. Elvira-Donazar, L. J. Hernandez-Paricio (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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