Monotonically normal topological vector spaces are stratifiable.

DOI10.1016/S0166-8641(03)00216-5zbMath1038.46004OpenAlexW1966039695MaRDI QIDQ1421990

Stanislav Shkarin

Publication date: 3 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00216-5

zbMATH Keywords

Topological vector spacesMonotonically normal spacesMonotonically regular spacesStratifiable spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (1)

Mary Ellen Rudin and monotone normality

Cites Work

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• Nonstratifiability of topological vector spaces
• On the monotone normality of function spaces
• On stratifiable locally convex spaces.
• On stratifiable spaces
• An extension of Tietze's theorem
• PARACOMPACTNESS AND SUBPARACOMPACTNESS IN PERFECTLY NORMAL LOCALLY COMPACT SPACES
• A class of free locally convex spaces
• Continuous Extensions
• Characterizations of σ-spaces

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