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.
|Number of pages||10|
|Journal||Topology and its Applications|
|Publication status||Published - 1998|
- First Čech homotopy group
- Fundamental group
ASJC Scopus subject areas
- Geometry and Topology