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arXiv · 1104.3726

A-homology, A-homotopy and spectral sequences

Miguel Ottina
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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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Miguel Ottina. 2011-04-19. A-homology, A-homotopy and spectral sequences. https://arxiv.org/abs/1104.3726

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