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Quadratic homology
Authors:Hans-Joachim Baues
Institution:Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, D-53225 Bonn, Germany
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.

Keywords:Quadratic functors  Goodwillie calculus  Steenrod squares  EHP-sequence
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