More on Externally q-Hyperconvex Subsets of T0-Quasi-Metric Spaces
Year: 2024
Type: article
Abstract: We continue earlier research on T0-quasi-metric spaces which are externally q-hyperconvex. We focus on external q-hyperconvex subsets of T0-quasi-metric spaces in particular. We demonstrate that a countable family of pairwise intersecting externally q-hyperconvex subsets has a non-empty intersection that is external q-hyperconvex under specific requirements on the underlying space (see Proposition 22). Last but not least, we demonstrate that if A is a subset of a supseparable and externally q-hyperconvex space Y, where Y ⊆ X, then A is also externally q-hyperconvex in X (Proposition 25).
Source: Contemporary Mathematics
Author: Collins Amburo Agyingi
Institution: University of South Africa
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4403453693