On Lipschitz Homogeneity of the Hilbert Cube

DOI10.2307/1999895zbMath0574.54025OpenAlexW4245303075MaRDI QIDQ3694247

Aarno Hohti

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999895

zbMATH Keywords

Hilbert cubeLipschitz homeomorphismsQ-manifoldLipschitz homogeneous compact metric space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Special maps on metric spaces (54E40) Maps and general types of topological spaces defined by maps (54C99)

Related Items (6)

Homogeneity properties with isometries and Lipschitz functions ⋮ Doubling property for bilipschitz homogeneous geodesic surfaces ⋮ Bi-Lipschitz homogeneous curves in ℝ² are quasicircles ⋮ Geodesic manifolds with a transitive subset of smooth biLipschitz maps ⋮ A Metric Form of Microtransitivity ⋮ Computer theorem proving in mathematics

Cites Work

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• Lipschitz homeomorphisms of the Hilbert cube
• Die Homoiomorphie der kompakten konvexen Mengen im Hilbertschen Raum
• The Hyperspace of the Closed Unit Interval is a Hilbert Cube
• Hyperspaces of Peano continua are Hubert cubes

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