Absolute homology.
Barr, Michael (2005)
Theory and Applications of Categories [electronic only]
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Barr, Michael (2005)
Theory and Applications of Categories [electronic only]
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Daryl George (1984)
Fundamenta Mathematicae
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Fred Richman (1976)
Fundamenta Mathematicae
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René Guitart (2007)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Philippe Gaucher (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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M. V. Mielke (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we extend the Eilenberg-Steenrod axiomatic description of a homology theory from the category of topological spaces to an arbitrary category and, in particular, to a topos. Implicit in this extension is an extension of the notions of homotopy and excision. A general discussion of such homotopy and excision structures on a category is given along with several examples including the interval based homotopies and, for toposes, the excisions represented by “cutting out” subobjects....
Everaert, T., Van der Linden, T. (2004)
Theory and Applications of Categories [electronic only]
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