Equicontinuity and balanced topological groups.

DOI10.1016/S0166-8641(03)00135-4zbMath1039.54021MaRDI QIDQ1421965

Jean Pierre Troallic

Publication date: 3 February 2004

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

topological groupuniform spacethin subsetbalanced topological groupcountable cellularitycountable o-tightnesscriteria for equicontinuitynon-Archimedean topological groupright uniformly discrete subsetstrongly functionally balanced topological group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Uniform structures and generalizations (54E15) Fairly general properties of topological spaces (54D99)

Related Items (2)

Uniform structures in the beginning of the third millenium ⋮ Balanced and functionally balanced \(P\)-groups

Cites Work

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• Souslin property in free topological groups on bicompacta
• Equicontinuity, uniform structures and countability in locally compact groups
• Completeness of topological groups
• A balance test for locally compact groups
• Functionally balanced groups
• Characterization of equivalent uniformities in topological groups
• The notion of o-tightness and C-embedded subspaces of products
• Sequential criteria for equicontinuity and uniformities on topological groups
• Uniformity and Uniformly Continuous Functions for Locally Compact Groups
• Classes of topological groups
• Uniform Structure in Topological Groups
• Uniformities and uniformly continuous functions on locally connected groups
• Projective limits and balanced topological groups

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