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