Remarks on the space \(\aleph_{1}\) in \(\mathbf {ZF}\)

DOI10.1016/J.TOPOL.2010.11.007zbMath1211.54038OpenAlexW2037219220MaRDI QIDQ617735

Kyriakos Keremedis, Horst Herrlich

Publication date: 13 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.11.007

zbMATH Keywords

compactificationscompact spacesLindelöf spacesordinal spacesAxiom of ChoiceČech-Stone extensionseffectively normal spacesWallman extensions

Mathematics Subject Classification ID

Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (2)

Hausdorff compactifications in ZF ⋮ Compactness and compactifications in generalized topology

Cites Work

• Continuing horrors of topology without choice
• Axiom of choice
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