On completions of topological groups with respect to the maximal uniform structure and factorization of uniform homomorphisms with respect to uniform weight and dimension

DOI10.1016/S0166-8641(99)00120-0zbMath0989.54042OpenAlexW2073989653MaRDI QIDQ1581929

Altay A. Borubaev, Asylbek A. Chekeev

Publication date: 10 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00120-0

zbMATH Keywords

Dieudonné completionuniform dimensionuniform groupsuniform weight\(\mathbb{R}\)-factorizable topological group\(M\)-factorizable topological groupRaikov completionuniformly \(\mathbb{R}\)-factorizable groupuniformly \(M\)-factorizable group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15)

Related Items (3)

Index boundedness and uniform connectedness of space of the G-permutation degree ⋮ Ultrafilter-completeness on zero-sets of uniformly continuous functions ⋮ Uniformities for Wallman compactifications and realcompactifications

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