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A remark on nearness spaces

2020/12/17 by Jan-David Hardtke, Hardtke, Jan-David
Mathematics · Physics and Astronomy · #54E17 54B30 #Advanced Banach Space Theory #Advanced Differential Geometry Research #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:54B30 #msc:54E17

paper · pdf · doi:10.48550/arxiv.2012.09780

4 pages

arxiv created 2020/12/17 · openalex publication_date 2020/12/17 · arxiv updated 2020/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a proof of the well-known fact that the category of nearness spaces is bireflective in the category of merotopic spaces which uses Zorn's Lemma instead of the usual construction by transfinite induction.

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