Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces

Katsuya Eda

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally semi-simply connected at any point. If the fundamental group π1(X) is a subgroup of a free product *j∈ JHj, then it is contained in a conjugate subgroup to some Hj.

    Original languageEnglish
    Pages (from-to)769-787
    Number of pages19
    JournalJournal of the Mathematical Society of Japan
    Volume63
    Issue number3
    DOIs
    Publication statusPublished - 2011

    Fingerprint

    Fundamental Group
    Peano Continuum
    Subgroup
    First Countable
    Path
    Locally Connected
    Free Product

    Keywords

    • Fundamental group
    • Hawaiian earring
    • Wild space

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces. / Eda, Katsuya.

    In: Journal of the Mathematical Society of Japan, Vol. 63, No. 3, 2011, p. 769-787.

    Research output: Contribution to journalArticle

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