The strong Pytkeev property for topological groups and topological vector spaces

DOI10.1007/s00605-014-0639-xzbMath1303.22002OpenAlexW2091070449MaRDI QIDQ478495

Saak S. Gabriyelyan, Arkady G. Leiderman, Jerzy Kąkol

Publication date: 3 December 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0639-x

zbMATH Keywords

topological grouplocally convex space\(k\)-space\(\mathfrak{G}\)-baseFréchet-Urysohnesssequentialtystrong Pytkeev property

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Function spaces in general topology (54C35) Topological groups (topological aspects) (54H11) General theory of locally convex spaces (46A03)

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The strong Pytkeev property in topological spaces ⋮ Topological properties of the group of the null sequences valued in an abelian topological group ⋮ Spaces \(C(X)\) with ordered bases ⋮ \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra ⋮ Descriptive topology for analysts ⋮ On spaces defined by Pytkeev networks ⋮ \(\mathfrak{P}_0\)-spaces ⋮ On bounded sets in \(C_k ( X )\) ⋮ On topological properties of Fréchet locally convex spaces with the weak topology ⋮ Strict Pytkeev networks with sensors and their applications in topological groups ⋮ A note on paratopological groups with an \(\omega^\omega \)-base ⋮ Topological properties of inductive limits of closed towers of metrizable groups ⋮ Free locally convex spaces with a small base ⋮ Metrization conditions for topological vector spaces with Baire type properties ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups ⋮ On topological spaces and topological groups with certain local countable networks ⋮ On \(\mathfrak{P}\)-spaces and related concepts

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