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Normality and dense subspaces

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Publication:2750916
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DOI10.1090/S0002-9939-01-06051-8zbMath0979.54026OpenAlexW1772481798MaRDI QIDQ2750916

Alexander V. Arhangel'skii

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06051-8


zbMATH Keywords

normal spacedense subspace


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)


Related Items (4)

An elementary counterexample on dense normality ⋮ Topological properties of function spaces over ordinals ⋮ On densely normal locales ⋮ Relative normality and dense subspaces



Cites Work

  • Normality in dense subspaces of products
  • A pseudocompact Tychonoff space all countable subsets of which are closed and \(C^*\)-embedded
  • Relative topological properties and relative topological spaces
  • A 𝜅-normal, not densely normal Tychonoff space
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