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Weakly uniform bases and the first countability axiom

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Publication:1822375
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DOI10.1007/BF01142472zbMath0618.54026WikidataQ114694045 ScholiaQ114694045MaRDI QIDQ1822375

S. A. Peregudov

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

refinabilitycountable tightnesspoint-countable basesymmetrizable space\(\theta \)-refinable p-spacecountably weakly uniform basenon-isolated pointsparacompact \(\Sigma \)-spaceregular locally countably compact space


Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Topological spaces with richer structures (54E99) Moore spaces (54E30)


Related Items

Modifications of uniform bases and classification of topological spaces



Cites Work

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  • S-spaces can exist under MA
  • On certain point-countable covers
  • On p-spaces and \(w\Delta\)-spaces
  • Moore spaces and \(w\delta\)-spaces
  • A Nondevelopable Cech-Complete Space with a Point-Countable Base
  • Characterizations of Developable Topological Spaces
  • On Metrizability of Topological Spaces
  • Developable Spaces and p-Spaces
  • A note on weak θ-refinability
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