Completions of linearly topologized vector spaces

DOI10.1016/0021-8693(82)90027-8zbMath0477.20036OpenAlexW1976112519MaRDI QIDQ1160755

S. Singh

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90027-8

zbMATH Keywords

local basiscategory of modules with linear topologycategory of vector spacescompletions of vector spacesfunctorial topologiesHausdorff completion functorlinearly compact spaceslinearly topologized modulelinearly topologized vector spaces

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Baire category, Baire spaces (54E52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Topological and ordered rings and modules (16W80) Topological methods for abelian groups (20K45)

Related Items

Duality and completions of linearly topologized modules, On reflexive modules and Abelian groups

Cites Work

• Functorial topologies on Abelian groups
• Homology and direct sums of countable abelian groups
• Rings with several objects
• On \(p^{\alpha}\)-high injectives
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• The Cohomological Dimension of a Directed Set
• Upper Bounds on Homological Dimensions
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