On the fundamental group of ℝ3 modulo the case-Chamberlin continuum

Katsuya Eda, Umed H. Karimov, Dušan Repovš

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    It has been known for a long time that the fundamental group of the quotient of ℝ3 by the Case-Chamberlin continuum is nontrivial. In the present paper we prove that this group is in fact, uncountable.

    Original languageEnglish
    Pages (from-to)89-94
    Number of pages6
    JournalGlasnik Matematicki
    Volume42
    Issue number1
    DOIs
    Publication statusPublished - 2007 Jun

    Fingerprint

    Uncountable
    Fundamental Group
    Modulo
    Quotient
    Continuum

    Keywords

    • Case-Chamberlin continuum
    • Commutator
    • Fundamental group
    • Lower central series
    • Quotient space
    • Weight

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    On the fundamental group of ℝ3 modulo the case-Chamberlin continuum. / Eda, Katsuya; Karimov, Umed H.; Repovš, Dušan.

    In: Glasnik Matematicki, Vol. 42, No. 1, 06.2007, p. 89-94.

    Research output: Contribution to journalArticle

    Eda, Katsuya ; Karimov, Umed H. ; Repovš, Dušan. / On the fundamental group of ℝ3 modulo the case-Chamberlin continuum. In: Glasnik Matematicki. 2007 ; Vol. 42, No. 1. pp. 89-94.
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