Separation Axioms Among US
Steven Clontz, Marshall Williams
TL;DR
This paper investigates various separation axioms in topology that are weaker than the Hausdorff condition but stronger than the US property, providing new characterizations and insights into their relationships.
Contribution
It introduces new characterizations of separation axioms between US and T2, expanding understanding of their hierarchy and properties.
Findings
Identifies separation axioms strictly between US and T2.
Provides new characterizations of these intermediate axioms.
Clarifies the hierarchy of separation properties in topology.
Abstract
A standard introductory result is that Hausdorff spaces have the property US, that is, each convergent sequence has a unique limit. This paper explores several existing and new characterizations of separation axioms that are strictly weaker than but strictly stronger than US.
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Taxonomy
TopicsMigration and Labor Dynamics