On metrizability of compactoid sets in non-archimedean locally convex spaces

DOI10.1016/S0019-3577(08)80021-3zbMath1187.46064MaRDI QIDQ735425

Wiesław Śliwa, Jerzy Kąkol

Publication date: 22 October 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

compactoid resolutionscompactoid setsnon-archimedean (LM)-spacest-frames

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) General theory of locally convex spaces (46A03)

Related Items (1)

On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis

Cites Work

• On compactness in locally convex spaces
• Bemerkungen zum Satz über die Separabilität der Frechet-Montel- Räume
• Resolutions of topological linear spaces and continuity of linear maps
• Non-Archimedean t-Frames and FM-Spaces
• On Topological Classification of Non-Archimedean Fréchet Spaces
• The metrisability of precompact sets
• Metrizability of precompact subsets in (LF)-spaces
• Metrizability vs. Fréchet-Uryshon property
• Necessary and sufficient conditions for precompact sets to be metrisable
• Orthogonal sequences in non-Archimedean locally convex spaces
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