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Quadratic homology


Author: Hans-Joachim Baues
Journal: Trans. Amer. Math. Soc. 351 (1999), 429-475
MSC (1991): Primary 55N35, 55Q70, 55S20
DOI: https://doi.org/10.1090/S0002-9947-99-02335-1
MathSciNet review: 1615931
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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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Additional Information

Hans-Joachim Baues
Affiliation: Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, D-53225 Bonn, Germany
Email: bauses@mpim-bonn.mpg.de

DOI: https://doi.org/10.1090/S0002-9947-99-02335-1
Keywords: Quadratic functors, Goodwillie calculus, Steenrod squares, EHP-sequence
Received by editor(s): October 22, 1996
Article copyright: © Copyright 1999 American Mathematical Society

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