Generalized universal covering spaces and the shape group
Open Access
- 1 January 2007
- journal article
- Published by Institute of Mathematics, Polish Academy of Sciences in Fundamenta Mathematicae
- Vol. 197, 167-196
- https://doi.org/10.4064/fm197-0-7
Abstract
If a paracompact Hausdorff space $X$ admits a (classical) universal covering space, then the natural homomorphism $varphi:pi_1(X)
ightarrow check{pi}_1(X)$ from the fundamental group to its first shape homotopy group is an isomorphism. We present a