scientific article; zbMATH DE number 3806542
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Publication:4748843
zbMath0511.57024MaRDI QIDQ4748843
Publication date: 1980
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equivariant absolute extensorcomplete convex invariant setequivariant absolute neighborhood retractsextensions of equivariant maps into linear G-spacesmetrizable G-space
Transformation groups and semigroups (topological aspects) (54H15) Homotopy extension properties, cofibrations in algebraic topology (55P05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Compact groups of homeomorphisms (57S10)
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Some open problems in equivariant infinite-dimensional topology ⋮ Extension of \(G\)-uniform maps ⋮ The homogeneous space \(G/H\) as an equivariant fibrant space ⋮ The Banach--Mazur compactum \(BM(2)\) is homeomorphic to the orbit space (exp\(S^{1})/O(2)\) ⋮ A characterization of \(G\)-ANR and \(G\)-AR spaces for proper actions of Lie groups ⋮ Equivariant embeddings of metrizable proper \(G\)-spaces ⋮ Equivariant extension properties of coset spaces of locally compact groups and approximate slices ⋮ A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of \(\mathbb{R}^n\) ⋮ New topological models for Banach-Mazur compacta ⋮ Orbit spaces and unions of equivariant absolute neighborhood extensors ⋮ Hyperspaces of Keller compacta and their orbit spaces ⋮ Universal proper \(G\)-spaces ⋮ The Gromov-Hausdorff hyperspace of a Euclidean space ⋮ The Gromov-Hausdorff hyperspace of a Euclidean space. II ⋮ Extending equivariant maps into spaces with convex structure
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