Quadratic homology

Baues, Hans-Joachim

doi:10.1090/S0002-9947-99-02335-1

Quadratic homology
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by Hans-Joachim Baues

Trans. Amer. Math. Soc. 351 (1999), 429-475

DOI: https://doi.org/10.1090/S0002-9947-99-02335-1

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Abstract:

We describe axioms for a ‘quadratic homology theory’ which generalize the classical axioms of homology. As examples we consider quadratic homology theories induced by 2-excisive homotopy functors in the sense of Goodwillie and the homology of a space with coefficients in a square group which generalizes the homology of a space with coefficients in an abelian group.

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