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arXiv · 2502.16764

Separation Axioms Among US

Steven Clontz·Marshall Williams
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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 $T_2$ but strictly stronger than US.

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Steven Clontz, Marshall Williams. 2025-02-24. Separation Axioms Among US. https://arxiv.org/abs/2502.16764

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