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General and Set-Theoretic Topology

General/ST Session #3 #1

Subevent of General/ST Session #3

Central Time (US & Canada)

Starts at: 2025-08-12 02:30PM

Ends at: 2025-08-12 02:50PM

A measure of Isbell-convexity for a quasi-metric space

Collins Amburo Agyingi ⟨agyinca@unisa.ac.za⟩

Abstract:

Let (X,d) be a T0-quasi-metric space. Then it has been shown that X has a q-hyperconvex hull which is denoted by QX. It is known that every q-hyperconvex T0-quasi-metric space is bicomplete. However, the converse is not true, that is, there exist bicomplete T0-quasi-metric spaces that are not q-hyperconvex. In this talk, we shall present a parameter that measures how far a bicomplete T0-quasi-metric space is from being hyperconvex. We will present some characteristics of this new parameter.

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