Extensorial properties of orbit spaces of proper group actions
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Publication:1807568
DOI10.1016/S0166-8641(99)00039-5zbMath0942.54011MaRDI QIDQ1807568
Publication date: 17 August 2000
Published in: Topology and its Applications (Search for Journal in Brave)
Transformation groups and semigroups (topological aspects) (54H15) Retraction (54C15) Quotient spaces, decompositions in general topology (54B15)
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Orbit spaces of proper equivariant absolute extensors ⋮ Cardinal-indexed classifying spaces for families of subgroups of any topological group ⋮ Extension of \(G\)-uniform maps ⋮ The homogeneous space \(G/H\) as an equivariant fibrant space ⋮ A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups ⋮ Equivariant strong shape ⋮ Equivariant embeddings of metrizable proper \(G\)-spaces ⋮ Fibrant extensions of free \(G\)-spaces ⋮ Linearization of proper actions of locally compact groups on Tychonoff spaces ⋮ \(G\)-fibrations and twisted products ⋮ A lighthearted proof of the existence of \(G\)-fibrant extensions ⋮ Equivariant extension properties of coset spaces of locally compact groups and approximate slices ⋮ Equivariant embedding of metrizable $G$-spaces in linear $G$-spaces ⋮ Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary ⋮ Orbit spaces and unions of equivariant absolute neighborhood extensors ⋮ Proper actions on topological groups: Applications to quotient spaces ⋮ \(G\)-fibrant extensions and twisted products ⋮ Linearization of proper group actions ⋮ Countable approximation of topological \(G\)-manifolds. III: Arbitrary Lie groups ⋮ Extending equivariant maps into spaces with convex structure
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