A-homology, A-homotopy and spectral sequences

Details A-homology, A-homotopy and spectral sequences A-homology, A-homotopy and spectral sequences

2011-04-19

arxiv.org/abs/1104.3726v1

Mathematics

Algebraic Topology

12 pages. Accepted for publication in Journal of Homotopy and Related Structures

Scientific paper

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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