Homotopy and homology groups of the n-dimensional Hawaiian earring

Eda Katsuya, Kazuhiro Kawamura

    Research output: Contribution to journalArticle

    17 Citations (Scopus)

    Abstract

    For the n-dimensional Hawaiian earring ℍn, n ≥ 2, πn(ℍn, o) ≃ ℤω and πi(ℍn,o) is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CXVCY be the one-point union with two points of the base spaces X and Y being identified to a point. Then Hn(X V Y) ≃ Hn(X) ⊕ Hn(Y) ⊕ Hn(CX V CY) for n ≥ 1.

    Original languageEnglish
    Pages (from-to)17-28
    Number of pages12
    JournalFundamenta Mathematicae
    Volume165
    Issue number1
    Publication statusPublished - 2000

    Fingerprint

    Homotopy Groups
    Homology Groups
    n-dimensional
    Trivial
    Union
    Cone

    Keywords

    • Cech homotopy group
    • Homology group
    • n-dimensional Hawaiian earring

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Homotopy and homology groups of the n-dimensional Hawaiian earring. / Katsuya, Eda; Kawamura, Kazuhiro.

    In: Fundamenta Mathematicae, Vol. 165, No. 1, 2000, p. 17-28.

    Research output: Contribution to journalArticle

    Katsuya, E & Kawamura, K 2000, 'Homotopy and homology groups of the n-dimensional Hawaiian earring', Fundamenta Mathematicae, vol. 165, no. 1, pp. 17-28.
    Katsuya, Eda ; Kawamura, Kazuhiro. / Homotopy and homology groups of the n-dimensional Hawaiian earring. In: Fundamenta Mathematicae. 2000 ; Vol. 165, No. 1. pp. 17-28.
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