Covering group theory for topological groups

DOI10.1016/S0166-8641(00)00031-6zbMath0982.22002OpenAlexW1988679499MaRDI QIDQ5939838

Valera Berestovskii, Conrad P. Plaut

Publication date: 23 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00031-6

zbMATH Keywords

coverable topological groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy groups of topological groups and homogeneous spaces (57T20) Group algebras of locally compact groups (22D15)

Related Items

Discrete homotopy theory and critical values of metric spaces ⋮ Uniform universal covers of uniform spaces ⋮ On maps with continuous path lifting ⋮ Infinite index extensions of local nets and defects ⋮ Covering group theory for compact groups ⋮ Covering group theory for locally compact groups ⋮ Quotients of uniform spaces ⋮ Essential circles and Gromov–Hausdorff convergence of covers ⋮ An equivalent condition for a uniform space to be coverable

Cites Work

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• The big fundamental group, big Hawaiian earrings, and the big free groups
• Homogeneous spaces of curvature bounded below
• Quotient groups of linear topological spaces
• A Topological Group Having no Homeomorphisms Other than Translations
• Connectedness of complete metric groups
• Evolution of the Topological Concept of "Connected"
• Geometric groups. I
• On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane
• The structure of compact groups. A primer for the student -- a handbook for the expert
• On some properties of covering groups of a topological group
• Covering group theory for locally compact groups