The fundamental groups of one-dimensional spaces

Katsuya Eda, Kazuhiro Kawamura

    Research output: Contribution to journal › Article

    36 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

    Keywords

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

    ASJC Scopus subject areas

    • Geometry and Topology

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