Semi-stratifiable spaces with monotonically normal compactifications

DOI10.1016/j.topol.2015.10.005zbMath1331.54022OpenAlexW2119146785MaRDI QIDQ897973

Harold R. Bennett, David J. Lutzer

Publication date: 8 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.10.005

zbMATH Keywords

\(\sigma\)-discrete spacemonotonically normalstratifiablescatteredsemi-stratifiablegeneralised ordered spacecountable subspacedense metrisable subsetmetrisable spacesmonotonically normal compactificationRudin's solution of Nikiel's problem

Mathematics Subject Classification ID

Compactness (54D30) Metric spaces, metrizability (54E35) 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) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (3)

Unnamed Item ⋮ On some properties of perfect images of GO-spaces and generalized trees ⋮ On the metrization of PIGO spaces

Cites Work

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• Some generalizations of metric spaces
• Mary Ellen Rudin and monotone normality
• Cardinal invariants of monotonically normal spaces
• Hereditarily normal extensions.
• On stratifiable spaces
• Concerning semi-stratifiable spaces
• Stratifiable σ-Discrete Spaces are M 1
• Characterizations of σ-spaces
• Monotonically Normal Spaces
• Monotone normality
• Nikiel's conjecture

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