Generalized homology theories and chain complexes |
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Authors: | Friedrich W Bauer |
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Institution: | (1) Present address: Fachbereich Mathematik, Johann Wolfgang Goethe-Universität, RobertMayer-Strasse 6-10, 6 Frankfurt am Main |
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Abstract: | Summary To each generalized homology theory h* defined on a category of topological spacesK (definition 1.2)a chain functorC
*:K ch (=category of chain complexes) (cf. definition 2.1) is established, which is related to h
* (definition 2.4,theorem 8.1).In subsequent papers this result is used for the construction of a strong homology theory (i.e. an analogue of the Steenrod-Sitnikov homology theory for general topological spaces) cf. 4].To G.S. ogo vili on the occasion of his 75th birthday |
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