A-homology, A-homotopy and spectral sequences
Algebraic Topology
2014-05-12 v2
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.
Keywords
Cite
@article{arxiv.1104.3726,
title = {A-homology, A-homotopy and spectral sequences},
author = {Miguel Ottina},
journal= {arXiv preprint arXiv:1104.3726},
year = {2014}
}
Comments
12 pages