Orbit spaces and unions of equivariant absolute neighborhood extensors

DOI10.1016/j.topol.2003.05.004zbMath1072.54014OpenAlexW2015235670MaRDI QIDQ1763600

Sergey A. Antonyan

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2003.05.004

zbMATH Keywords

metrizable\(G\)-spaces\(G\)-polyhedron

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (21)

Orbit spaces of proper equivariant absolute extensors ⋮ Metrizability of proper \(G\)-spaces and their orbit spaces ⋮ Cardinal-indexed classifying spaces for families of subgroups of any topological group ⋮ Unnamed Item ⋮ Compactifications of based-free \(G\)-spaces ⋮ Countable approximation of topological G-manifolds, II: linear Lie groups G ⋮ A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups ⋮ Uniformly proper actions ⋮ Compact group actions on equivariant absolute neighborhood retracts and their orbit spaces ⋮ Universal G-spaces for proper actions of locally compact groups ⋮ Fibrant extensions of free \(G\)-spaces ⋮ Linearization of proper actions of locally compact groups on Tychonoff spaces ⋮ Two homotopy characterizations of \(G\)-ANR spaces for proper actions of Lie groups ⋮ Equivariant extension properties of coset spaces of locally compact groups and approximate slices ⋮ Characterizing slices for proper actions of locally compact groups ⋮ The equivariant homotopy type of \(G-ANR\)'s for compact group actions ⋮ Proper actions on topological groups: Applications to quotient spaces ⋮ Dimension of proper \(G\)-spaces ⋮ Universal metric proper \(G\)-spaces ⋮ Linearization of proper group actions ⋮ Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups

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