Convergence properties and compactifications
Robert Leek
TL;DR
This paper investigates the existence of various types of compactifications with specific convergence properties, such as pseudoradial, radial, sequential, and Fréchet-Urysohn, using spoke systems.
Contribution
It introduces a method to analyze compactifications with particular convergence properties via spoke systems.
Findings
Characterization of compactifications with specific convergence properties
Use of spoke systems to study convergence in compactifications
New insights into the structure of such compactifications
Abstract
In this paper, we will use investigate the existence of compactifications with particular convergence properties - pseudoradial, radial, sequential and Fr\'echet-Urysohn - through the use of spoke systems.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Fuzzy and Soft Set Theory · Rings, Modules, and Algebras