Universal G-spaces for proper actions of locally compact groups

DOI10.1016/j.topol.2011.11.036zbMath1237.22006OpenAlexW2069415357MaRDI QIDQ409584

Natella Antonyan, Sergey A. Antonyan, Rubén D. Varela-Velasco

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.036

zbMATH Keywords

coneproper actionslicelarge subgrouporbit type

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Embedding (54C25) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) General theory of group and pseudogroup actions (22F05)

Related Items (6)

Cardinal-indexed classifying spaces for families of subgroups of any topological group ⋮ A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups ⋮ On the existence of isovariant extensors for actions of locally compact groups ⋮ Universal metric proper \(G\)-spaces ⋮ Universal \(G\)-spaces for proper free actions ⋮ Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups

Cites Work

• Equivariant extension properties of coset spaces of locally compact groups and approximate slices
• On the existence of slices for actions of non-compact Lie groups
• On isometrically universal spaces, mappings, and actions of groups
• Linearization of proper group actions
• Tychonov's theorem for G-spaces
• A universal proper G-space
• Parallelizability of proper actions, global K-slices and maximal compact subgroups
• Invariant pseudometrics on Palais proper \(G\)-spaces
• Orbit spaces and unions of equivariant absolute neighborhood extensors
• Existence of a slice for an arbitrary compact transformation group
• Lectures on groups of transformations. Notes by R. R. Simha and R. Sridharan
• Proper actions on topological groups: Applications to quotient spaces
• Proper actions of locally compact groups on equivariant absolute extensors
• Characterizing Hilbert space topology
• Hilbert space is homeomorphic to the countable infinite product of lines
• Infinite Products which are Hilbert Cubes
• The classification of 𝐺-spaces
• The \(G\)-homotopy type of proper locally linear \(G\)-manifolds. II
• Universal proper \(G\)-spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Universal G-spaces for proper actions of locally compact groups