Bounded sets in topological vector spaces

DOI10.1007/BF01444213zbMath0844.46001MaRDI QIDQ1906877

Maxim R. Burke, Stevo Todorčević

Publication date: 30 January 1996

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

Full work available at URL: https://eudml.org/doc/165435

zbMATH Keywords

barrelledeventual dominancebounded subsets of a metrizable topological vector spacenormability in metrizable topological vector sapces

Mathematics Subject Classification ID

Consistency and independence results (03E35) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08)

Related Items (1)

The character of topological groups, via bounded systems, Pontryagin-van Kampen duality and pcf theory

Cites Work

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• Example of a non-separable $B_0$-space in which every bounded set is separable
• Barrelled Spaces Whose Bounded Sets have at Most Countable Dimension
• Directed Sets and Cofinal Types
• Optimal Cardinals for Metrizable Barrelled Spaces
• Banach spaces and large cardinals
• Every Countable-Codimensional Subspace of a Barrelled Space is Barrelled
• Independent sets in topological algebras

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