\(M_ 3\)-spaces whose every point has a closure preserving outer base are \(M_ 1\)

DOI10.1016/0166-8641(85)90085-9zbMath0567.54012OpenAlexW2135638363MaRDI QIDQ1059882

Munehiko Itō

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90085-9

zbMATH Keywords

stratifiable spaceNagata space\(M_ 1\)- space\(M_ 3\)-spaceclosure preserving outer base

Mathematics Subject Classification ID

Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (8)

On closed subsets of \(M_{1}\)-spaces ⋮ More stratifiable function spaces ⋮ Some weaker monotone separation and basis properties ⋮ An application of Mary Ellen Rudin's solution to Nikiel's conjecture ⋮ On some kinds of completeness and semitopological groups with property \((w \ast )\) ⋮ Equality of dimensions for some paracompact \(\sigma \)-spaces ⋮ Some weak versions of the \(M_{1}\)-spaces ⋮ A glance at spaces with closure-preserving local bases

Cites Work

• Some generalizations of metric spaces
• The closed image of a hereditary \(M_ 1\)-space is \(M_ 1\)
• Neighbornets
• On stratifiable spaces
• Stratifiable Spaces as Subspaces and Continuous Images of M 1 -Spaces
• Spaces whose Closed Images are M 1
• On a Certain Class of M 1 -Spaces
• A note on nets and metrization
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