On the symmetric hyperspace of the circle

DOI10.1016/j.topol.2010.07.012zbMath1205.54018OpenAlexW2047554417MaRDI QIDQ602030

Naotsugu Chinen, Akira Koyama

Publication date: 29 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.07.012

zbMATH Keywords

compactificationsymmetric productdunce hatsymmetric hyperspace

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Embedding (54C25)

Related Items (5)

Embedding products into symmetric products of finite graphs ⋮ An Elementary Proof That the Third Finite Subset Space of the Circle is the 3-Sphere ⋮ On isometries of symmetric products of metric spaces ⋮ Growth rate of Lipschitz constants for retractions between finite subset spaces ⋮ Ri-sets, pseudo-contractibility and weak contractibility on hyperspaces of continua

Cites Work

• Finite graphs have unique symmetric products
• On the dunce hat
• Hyperspaces and symmetric products of topological spaces
• Cellular decompositions of 3-manifolds that yield 3-manifolds
• On the third symmetric potency of the circumference
• On the third symmetric potency of S1
• On symmetric products
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