### 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 |
---|---|

Pages (from-to) | 163-172 |

Number of pages | 10 |

Journal | Topology and its Applications |

Volume | 87 |

Issue number | 3 |

Publication status | Published - 1998 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Geometry and Topology

### Cite this

*Topology and its Applications*,

*87*(3), 163-172.

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

Research output: Contribution to journal › Article

*Topology and its Applications*, vol. 87, no. 3, pp. 163-172.

}

TY - JOUR

T1 - The fundamental groups of one-dimensional spaces

AU - Eda, Katsuya

AU - Kawamura, Kazuhiro

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - First Čech homotopy group

KW - Fundamental group

KW - One-dimensional

UR - http://www.scopus.com/inward/record.url?scp=0005515781&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0005515781&partnerID=8YFLogxK

M3 - Article

VL - 87

SP - 163

EP - 172

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 3

ER -