Triviality of Simple Fiber-Preserving Actions of Tori on Hilbert-Cube-Fiber Bundles

DOI10.2307/2043649zbMath0538.57020OpenAlexW4235026126MaRDI QIDQ3324679

Vo Thanh Liem

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043649

zbMATH Keywords

Hurewicz fibrationbased free actions on the Hilbert cubefiber-preserving action of the n-dimensional torussimple actions of compact groups on a fibration with fibre the Hilbert cube

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Topology of infinite-dimensional manifolds (57N20) Fiber spaces in algebraic topology (55R05) Compact groups of homeomorphisms (57S10)

Cites Work

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• Proper fibrations with Hilbert cube manifold fibers
• Some results on semi-free actions of finite groups on Hilbert cube manifolds
• The homeomorphism group of a compact Hilbert cube manifold is an ANR
• Partitions of unity in the theory of fibrations
• Infinite Products which are Hilbert Cubes

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