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arXiv · 1409.0567

Cotorsion-free groups from a topological viewpoint

Katsuya Eda·Hanspeter Fischer
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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.

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Katsuya Eda, Hanspeter Fischer. 2014-09-01. Cotorsion-free groups from a topological viewpoint. https://arxiv.org/abs/1409.0567

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