The Roelcke compactification of groups of homeomorphisms

DOI10.1016/S0166-8641(99)00185-6zbMath0966.22001arXivmath/0004140MaRDI QIDQ5929012

Vladimir V. Uspenskij

Publication date: 12 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/0004140

zbMATH Keywords

topological groupRoelcke compactificationsemigroup of closed relationuniformity

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Transformation groups and semigroups (topological aspects) (54H15) Structure of topological semigroups (22A15)

Related Items (9)

Compactifications of homeomorphism groups of linearly ordered compacta ⋮ Topological group actions by group automorphisms and Banach representations ⋮ Notes on non-Archimedean topological groups ⋮ Homeomorphism groups of homogeneous compacta need not be minimal ⋮ Unitary representations of oligomorphic groups ⋮ On subgroups of minimal topological groups ⋮ Order and minimality of some topological groups ⋮ Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups ⋮ Fixed points in compactifications and combinatorial counterparts

Cites Work

• Total minimality of the unitary groups
• Recent advances in minimal topological groups
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