Rigidity of symmetric products

DOI10.1016/j.topol.2013.06.001zbMath1286.54009OpenAlexW1983369820MaRDI QIDQ387188

Verónica Martínez-De-La-Vega, Rodrigo Hernández-Gutiérrez

Publication date: 20 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.06.001

zbMATH Keywords

rigidityindecomposabilitydendroidsymmetric productunique hyperspacePeano continua

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15)

Related Items (13)

Induced mappings on \(C_n(X)/C_{n_K}(X)\) ⋮ Almost meshed locally connected continua have unique second symmetric product ⋮ Rigidity of the second symmetric product of the pseudo-arc ⋮ Symmetric products as cones ⋮ Homogeneity degree of some symmetric products ⋮ Mapping theorems for rigid continua and their inverse limits ⋮ Uniqueness and rigidity of the second symmetric product of standard universal dendrites ⋮ Framed continua have unique \(n\)-fold hyperspace suspension ⋮ Finite graphs have unique second and third symmetric product suspension ⋮ Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits ⋮ Unnamed Item ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Meshed continua have unique second and third symmetric products

Cites Work

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• Uniqueness of hyperspaces for Peano continua
• Finite graphs have unique symmetric products
• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• Factorwise rigidity of embeddings of products of pseudo-arcs
• Dendrites and symmetric products
• Hereditarily indecomposable Hausdorff continua have unique hyperspaces 2X and Cn(X)
• A note on smooth fans
• On symmetric products
• Local connectedness in hyperspaces

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