Singular homology groups of one-dimensional Peano continua

K. Eda

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Let X be a one-dimensional Peano continuum. Then the singular homology group H1(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.

    Original languageEnglish
    Pages (from-to)99-115
    Number of pages17
    JournalFundamenta Mathematicae
    Volume232
    Issue number2
    DOIs
    Publication statusPublished - 2016

    Fingerprint

    Peano Continuum
    Homology Groups
    Finite Rank
    Free Group
    Abelian group
    Isomorphic

    Keywords

    • Algebraic compactness
    • Hawaiian earring
    • One-dimensional
    • Peano continuum
    • Singular homology

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Singular homology groups of one-dimensional Peano continua. / Eda, K.

    In: Fundamenta Mathematicae, Vol. 232, No. 2, 2016, p. 99-115.

    Research output: Contribution to journalArticle

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