Cotorsion-free groups from a topological viewpoint
Algebraic Topology
2018-02-02 v1
Abstract
We present a characterization of cotorsion-free abelian groups in terms of homomorphisms from fundamental groups of Peano continua, which aligns naturally with the generalization of slenderness to non-abelian groups. In the process, we calculate the first homology group of the Griffiths twin cone.
Cite
@article{arxiv.1409.0567,
title = {Cotorsion-free groups from a topological viewpoint},
author = {Katsuya Eda and Hanspeter Fischer},
journal= {arXiv preprint arXiv:1409.0567},
year = {2018}
}
Comments
14 pages