Cotorsion-free groups from a topological viewpoint

Katsuya Eda, Hanspeter Fischer

    Research output: Contribution to journalArticle

    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 languageEnglish
    Pages (from-to)21-34
    Number of pages14
    JournalTopology and its Applications
    Volume214
    DOIs
    Publication statusPublished - 2016 Dec 1

    Fingerprint

    Peano Continuum
    Homology Groups
    Free Group
    Fundamental Group
    Homomorphisms
    Abelian group
    Cone
    Calculate
    Generalization

    Keywords

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

    ASJC Scopus subject areas

    • Geometry and Topology

    Cite this

    Cotorsion-free groups from a topological viewpoint. / Eda, Katsuya; Fischer, Hanspeter.

    In: Topology and its Applications, Vol. 214, 01.12.2016, p. 21-34.

    Research output: Contribution to journalArticle

    Eda, Katsuya ; Fischer, Hanspeter. / Cotorsion-free groups from a topological viewpoint. In: Topology and its Applications. 2016 ; Vol. 214. pp. 21-34.
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