Separation Axioms Among US

2025/02/24 by Steven Clontz, Clontz, Steven, Marshall Williams +1 · 3 voices
Mathematics · Social Sciences · #Migration and Labor Dynamics #math.GN

paper · pdf · doi:10.48550/arxiv.2502.16764

openalex publication_date 2025/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 T₂ but strictly stronger than US.

Discussions

• Pretty sure my latest preprint, "Separation Axioms Among US", exploring certain "SUS" spaces, will be my greatest contribution to the literature. arxiv.org/abs/2502.16764 [bsky, 12 points, 2 comments]
• Steven Clontz, Marshall Williams: Separation Axioms Among US https://arxiv.org/abs/2502.16764 https://arxiv.org/pdf/2502.16764 https://arxiv.org/html/2502.16764 [bsky, 0 points, 1 comments]
• why didn't i think of arxiv in the first place??? arxiv.org/pdf/2502.16764 [bsky, 0 points, 0 comments]

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