Dendrites with unique hyperspace \(C_2(X)\)

DOI10.1016/j.topol.2008.08.007zbMath1184.54011OpenAlexW2064690993MaRDI QIDQ1004039

David Herrera-Carrasco, Alejandro Illanes, María de J. López, Fernando Macías-Romero

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.08.007

zbMATH Keywords

hyperspacecontinuumdendriteunique hyperspace

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (12)

Dendrites which are determined by their positive Whitney levels ⋮ Almost meshed locally connected continua have unique second symmetric product ⋮ Uniqueness of hyperspaces for Peano continua ⋮ Local dendrites with unique \(n\)-fold hyperspace ⋮ The hyperspace \(H S_m^n(X)\) for a finite graph \(X\) is unique ⋮ Framed continua have unique \(n\)-fold hyperspace suspension ⋮ Finite graphs have unique second and third symmetric product suspension ⋮ Unnamed Item ⋮ Local dendrites with unique hyperspace \(C(X)\) ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Unnamed Item ⋮ Meshed continua have unique second and third symmetric products

Cites Work

• Finite graphs have unique symmetric products
• Irreducible continua of type \(\lambda\) with almost unique hyperspace
• Chainable continua are not C-determined
• Hereditarily indecomposable continua have unique hyperspace \(2^X\)
• Hyperspaces of Cones and Fans
• Dendrites and symmetric products
• Fans are not c-determined
• Non-metric Rim-metrizable continua and unique hyperspace
• On the hyperspace of subcontinua of a finite graph I
• On the hyperspaces \({\mathcal C}_n(X)\) of a continuum \(X\)
• Dendrites with a closed set of end points
• Continua with almost unique hyperspace
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