Metrizability of proper \(G\)-spaces and their orbit spaces

DOI10.1016/j.topol.2020.107491zbMath1482.22022OpenAlexW3112251724MaRDI QIDQ820621

Hugo Juárez-Anguiano, Sergey A. Antonyan, Li-Li Zhang

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107491

zbMATH Keywords

locally compact groupinvariant metricproper actiondispersive dynamical system\(p\)-spacemetrizable orbit spacestrongly metrizable space

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Locally compact groups and their algebras (22D99) General theory of group and pseudogroup actions (22F05)

Cites Work

• Uniformly proper actions
• Equivariant extension properties of coset spaces of locally compact groups and approximate slices
• Dimension of proper \(G\)-spaces
• On the existence of slices for actions of non-compact Lie groups
• Topological groups and related structures
• A universal proper G-space
• Parallelizability of proper actions, global K-slices and maximal compact subgroups
• Invariant pseudometrics on Palais proper \(G\)-spaces
• Characterizing slices for proper actions of locally compact groups
• Orbit spaces and unions of equivariant absolute neighborhood extensors
• Linearization of actions of locally compact groups
• Lectures on groups of transformations. Notes by R. R. Simha and R. Sridharan
• On the conjecture of Iwasawa and Gleason
• Proper actions on topological groups: Applications to quotient spaces
• Finite-to-One Maps and Open Extensions of Maps
• Parallelizability Revisited
• The classification of 𝐺-spaces
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