On the Metric Structure of Hyperspaces with HAUSDORFF Metric

DOI10.1002/mana.19861290116zbMath0609.54008OpenAlexW2139857546MaRDI QIDQ3749738

Christoph Bandt

Publication date: 1986

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19861290116

zbMATH Keywords

Hausdorff metricLipschitz mapsisometries

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Special maps on metric spaces (54E40)

Related Items (10)

The hyperbolization of hyperspaces ⋮ The third symmetric product of \(\mathbb R\) ⋮ A set-valued extension of the Mazur–Ulam theorem ⋮ Invariant sets and Knaster-Tarski principle ⋮ On mappings that preserve metric order ⋮ Covariant functors in categories of topological spaces ⋮ A convex set-valued version of the Mazur-Ulam theorem on Asplund spaces ⋮ Hyperbolizing hyperspaces ⋮ On isometries of symmetric products of metric spaces ⋮ The generalized Pompeiu metric in the isometry problem for hyperspaces

Cites Work

• Metrically invariant measures on locally homogeneous spaces and hyperspaces
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