Homology functors on shape categories
Friedrich W. Bauer (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Friedrich W. Bauer (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ulrich Oberst (1968)
Mathematische Zeitschrift
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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....
Philippe Gaucher (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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S.H. Nienhuys-Cheng (1971)
Mathematische Zeitschrift
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Dan Burghelea, Aristide Deleanu (1968/69)
Mathematische Zeitschrift
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Daryl George (1984)
Fundamenta Mathematicae
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