A note on perfect generalized ordered spaces

DOI10.1216/rmjm/1181070403zbMath0949.54046OpenAlexW2046196056MaRDI QIDQ1567139

David J. Lutzer, Masami Hosobuchi, Harold R. Bennett

Publication date: 9 November 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-4/CONT29-4/CONT29-4.html

zbMATH Keywords

perfect spacelinearly ordered spacemonotonically normal spaceGO space\(S\)-normalityalmost perfect spacestrongly densely normalweakly perfect space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

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Cites Work

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• Paracompactness in ordered spaces
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• Concerning normality, metrizability and the Souslin property in subspaces of Moore spaces
• Monotone normality