Some weaker monotone separation and basis properties

DOI10.1016/0166-8641(95)00069-0zbMath0848.54015OpenAlexW2027050515MaRDI QIDQ1916436

Robert E. Buck

Publication date: 28 October 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00069-0

zbMATH Keywords

monotonically normal spacestratifiable spacebox product\(m_ 1\)-space\(m_ 2\)-space\(m_ 3\)-spacestrongly monotonically \(T_ 2\)-space

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Base properties of topological spaces (54D70) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (7)

Some weaker monotone separation and basis properties ⋮ A class of topological spaces between the classes of regular and urysohn spaces ⋮ Generalized monotonically \(T_2\) spaces ⋮ Stratifiability of \(C_k(X)\) for a class of separable metrizable \(X\) ⋮ Some weak versions of the \(M_{1}\)-spaces ⋮ Some properties of strongly monotonically \(T_2\) spaces ⋮ Nonstratifiability of topological vector spaces

Cites Work

• Some generalizations of metric spaces
• \(M_ 3\)-spaces whose every point has a closure preserving outer base are \(M_ 1\)
• Some nonmetric, first countable, cancellative topological semigroups that are generalized metric spaces
• Neighbornets
• Monotone normality in products
• Some weaker monotone separation and basis properties
• On stratifiable spaces
• Stratifiable Spaces as Subspaces and Continuous Images of M 1 -Spaces
• A lattice of conditions on topological spaces II
• The box product of countably many metrizable spaces need not be normal
• A Study of Monotonically Normal Spaces
• Monotonically Normal Spaces
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