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 |
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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.