A-homology, A-homotopy and spectral sequences

Published 19 Apr 2011 in math.AT | (1104.3726v2)

Abstract: Given a CW-complex A we define an `A-shaped' homology theory which behaves nicely towards A-homotopy groups allowing the generalization of many classical results. We also develop a relative version of the Federer spectral sequence for computing A-homotopy groups. As an application we derive a generalization of the Hopf-Whitney theorem.

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Authors (1)

Miguel Ottina

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