On isometries of symmetric products of metric spaces

DOI10.1016/J.TOPOL.2018.08.006zbMath1402.54023OpenAlexW2886664397MaRDI QIDQ1790228

Naotsugu Chinen

Publication date: 2 October 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.08.006

zbMATH Keywords

normed spaceisometrysemidirect producttopological groupssymmetric product\(\ell_p^q\)

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Structure of general topological groups (22A05) Hyperspaces in general topology (54B20) Product spaces in general topology (54B10) Groups as automorphisms of other structures (22F50) Quasiconformal mappings in metric spaces (30L10)

Cites Work

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• On the symmetric hyperspace of the circle
• Topological groups and related structures
• The third symmetric product of \(\mathbb R\)
• Banach space theory. The basis for linear and nonlinear analysis
• On the Metric Structure of Hyperspaces with HAUSDORFF Metric
• Symmetric products of the Euclidean spaces and the spheres
• Partitioning a set
• Grille decomposition and convexification theorems for compact metric locally connected continua
• On symmetric products

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