The subjectivity of the canonical homomorphism from singular homology to čech homology

Katsuya Eda, Kazuhiro Kawamura

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    Let X be a locally n-connectcd compact metric space. Then, the canonical homomorphism from the singular homology group Hn+1(X) to the Čech homology group Ȟn+1(X) is surjective. Consequently, if a compact metric space X is locally connected, then the canonical homomorphism from H1 (X) to Ȟ1 (X) is surjective.

    Original languageEnglish
    Pages (from-to)1487-1495
    Number of pages9
    JournalProceedings of the American Mathematical Society
    Volume128
    Issue number5
    Publication statusPublished - 2000

    Fingerprint

    Homology Groups
    Compact Metric Space
    Homomorphism
    Homology
    Locally Connected

    Keywords

    • Čech homology
    • Canonical homomorphism
    • Singular homology
    • Surjectivc

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    The subjectivity of the canonical homomorphism from singular homology to čech homology. / Eda, Katsuya; Kawamura, Kazuhiro.

    In: Proceedings of the American Mathematical Society, Vol. 128, No. 5, 2000, p. 1487-1495.

    Research output: Contribution to journalArticle

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    KW - Canonical homomorphism

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    KW - Surjectivc

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