An isomorphism theorem of Hurewicz type in the proper homotopy category
J. Extremiana, L. Hernández, M. Rivas (1989)
Fundamenta Mathematicae
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J. Extremiana, L. Hernández, M. Rivas (1989)
Fundamenta Mathematicae
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Grandis, Marco (2003)
Georgian Mathematical Journal
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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....
I. Berstein, Tudor Ganea (1959)
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Portugaliae mathematica
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Peter Hilton (1967)
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