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On the small diagonals

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Publication:1169721
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DOI10.1016/0166-8641(82)90036-0zbMath0495.54028OpenAlexW1987026066MaRDI QIDQ1169721

Hao-Xuan Zhou

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90036-0

zbMATH Keywords

Lindelöf spacessmall diagonalcountably compact spacesMA+nonCHG-delta-diagonalCH+FAFleissner axiomHusek problemomega1-inaccessible diagonalZippin space


Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Compact (locally compact) metric spaces (54E45) Consistency and independence results in general topology (54A35)


Related Items

Algebraic objects generated by topological structure, Elementary chains and compact spaces with a small diagonal, Chain conditions and weak topologies, Calibers and point-finite cellularity of the space Cp(X) and some questions of S. Gul'ko and M. Hušek, Spaces having a small diagonal



Cites Work

  • Aspects of constructibility
  • A perfect map need not preserve a Gδ-diagonal
  • The Character of ω 1 in First Countable Spaces
  • Internal cohen extensions
  • A nondevelopable locally compact hausdorff space with a Gδ-diagonal
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