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

    Keywords

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

    ASJC Scopus subject areas

    • Mathematics(all)

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