Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777778 | Topology and its Applications | 2017 | 14 Pages |
Abstract
The notion of a G-uniform function was introduced by Jan de Vies in order to prove that, if G is a locally compact Hausdorff group, then any completely regular G-space admits a G-compactification. In this paper, for a locally compact Hausdorff group G, we establish analogs of the well known Urysohn Lemma and Tietze Extension Theorem for G-uniform functions. We examine also the extension problem for vector-valued G-uniform maps.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Natella Antonyan,