### 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 language | English |
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Pages (from-to) | 163-172 |

Number of pages | 10 |

Journal | Topology and its Applications |

Volume | 87 |

Issue number | 3 |

Publication status | Published - 1998 |

### Keywords

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

### ASJC Scopus subject areas

- Geometry and Topology

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## Cite this

Eda, K., & Kawamura, K. (1998). The fundamental groups of one-dimensional spaces.

*Topology and its Applications*,*87*(3), 163-172.