(LF)-spaces, quasi-Baire spaces and the strongest locally convex topology

DOI10.1007/BF01458598zbMath0575.46002MaRDI QIDQ1064514

Stephen A. Saxon, P. P. Narayanaswami

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164123

zbMATH Keywords

Fréchet spaceBaire category theoremseparable quotient problempermanence properties(LF)-spacescovering properties of locally convex spacesquasi-Baire spaces

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items

On countable bounded tightness for spaces \(C_{p}(X)\), Weak barrelledness for \(C(X)\) spaces, On the completion of (LF)-spaces, BARRELLED SPACES WITH(OUT) SEPARABLE QUOTIENTS, Dense Barrelled Subspaces of Uncountable Codimension, Sequentially Barrelled Spaces and the Strongest Locally Convex Topology, \((LF)\)-spaces with more-than-separable quotients, Distinguished \(C_p(X)\) spaces and the strongest locally convex topology, Non-Baire hyperplanes in non-separable Baire spaces, Metrizability of spaces of homomorphisms between metric vector spaces, Metrizability vs. Fréchet-Uryshon property, Unnamed Item, The quotient/codimension problems, Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology, A property of locally convex Baire spaces, The semi-Baire-like three-space problems

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