Induced homeomorphism and Atsuji hyperspaces

DOI10.3103/S1066369X22100061MaRDI QIDQ2688329

Yanyan Li

Publication date: 2 March 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.11842

zbMATH Keywords

metric spacehomeomorphismHausdorff distancemultivalued mapAtsuji space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform continuity of continuous functions of metric spaces
• Atsuji completions: Equivalent characterisations
• Distance functionals and suprema of hyperspace topologies
• Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics
• Between compactness and completeness
• The Locally Finite Topology on 2 X
• Atsuji completions vis-à-vis hyperspaces
• More about metric spaces on which continuous functions are uniformly continuous
• Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
• Induced Universal Maps and Some Hyperspaces with the Fixed Point Property
• $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
• On Normal Metrics

This page was built for publication: Induced homeomorphism and Atsuji hyperspaces