The fundamental groups of one-dimensional spaces

Katsuya Eda, Kazuhiro Kawamura

    Research output: Contribution to journal › Article

    31 Citations (Scopus)

    Abstract

    Let X be a space of dimension at most 1. Then, the fundamental group is isomorphic to a subgroup of the first Čech homotopy group based on finite open covers. Consequently, for a one-dimensional continuum X, the fundamental group is isomorphic to a subgroup of the first Čech homotopy group.

    Original languageEnglish
    Pages (from-to)163-172
    Number of pages10
    JournalTopology and its Applications
    Volume87
    Issue number3
    Publication statusPublished - 1998

    Fingerprint

    Homotopy Groups
    Fundamental Group
    Isomorphic
    Subgroup
    Open cover
    Continuum

    Keywords

    • First Čech homotopy group
    • Fundamental group
    • One-dimensional

    ASJC Scopus subject areas

    • Geometry and Topology

    Cite this

    Eda, K., & Kawamura, K. (1998). The fundamental groups of one-dimensional spaces. Topology and its Applications, 87(3), 163-172.

    The fundamental groups of one-dimensional spaces. / Eda, Katsuya; Kawamura, Kazuhiro.

    In: Topology and its Applications, Vol. 87, No. 3, 1998, p. 163-172.

    Research output: Contribution to journal › Article

    Eda, K & Kawamura, K 1998, 'The fundamental groups of one-dimensional spaces', Topology and its Applications, vol. 87, no. 3, pp. 163-172.
    Eda K, Kawamura K. The fundamental groups of one-dimensional spaces. Topology and its Applications. 1998;87(3):163-172.
    Eda, Katsuya ; Kawamura, Kazuhiro. / The fundamental groups of one-dimensional spaces. In: Topology and its Applications. 1998 ; Vol. 87, No. 3. pp. 163-172.
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