Cotorsion-free groups from a topological viewpoint

Katsuya Eda; Hanspeter Fischer

doi:10.1016/j.topol.2016.09.010

Cotorsion-free groups from a topological viewpoint

Katsuya Eda, Hanspeter Fischer^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	21-34
Number of pages	14
Journal	Topology and its Applications
Volume	214
DOIs	https://doi.org/10.1016/j.topol.2016.09.010
Publication status	Published - 2016 Dec 1

Keywords

Cotorsion-free group
Griffiths space
n-Slender group
Spanier group

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2016.09.010

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title = "Cotorsion-free groups from a topological viewpoint",

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.",

keywords = "Cotorsion-free group, Griffiths space, n-Slender group, Spanier group",

author = "Katsuya Eda and Hanspeter Fischer",

year = "2016",

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doi = "10.1016/j.topol.2016.09.010",

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T1 - Cotorsion-free groups from a topological viewpoint

AU - Eda, Katsuya

AU - Fischer, Hanspeter

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - Cotorsion-free group

KW - Griffiths space

KW - n-Slender group

KW - Spanier group

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DO - 10.1016/j.topol.2016.09.010

M3 - Article

AN - SCOPUS:84988918294

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VL - 214

SP - 21

EP - 34

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Cotorsion-free groups from a topological viewpoint

Abstract

Keywords

ASJC Scopus subject areas

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