Local dendrites with unique hyperspace \(C(X)\)

DOI10.1016/J.TOPOL.2010.05.005zbMath1200.54018OpenAlexW2019347528MaRDI QIDQ989088

Fernando Macías-Romero, David Herrera-Carrasco, Gerardo G. Acosta

Publication date: 27 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.05.005

zbMATH Keywords

hyperspacedimensioncontinuumdendritelocal dendriteunique 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 (9)

Almost meshed locally connected continua have unique second symmetric product ⋮ Uniqueness of hyperspaces for Peano continua ⋮ Local dendrites with unique \(n\)-fold hyperspace ⋮ Uniqueness of the \((n,m)\)-fold hyperspace suspension for continua ⋮ Framed continua have unique \(n\)-fold hyperspace suspension ⋮ Finite graphs have unique second and third symmetric product suspension ⋮ \(\frac{1}{3}\)-homogeneous dendrites ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Meshed continua have unique second and third symmetric products

Cites Work

• Finite graphs have unique symmetric products
• Dendrites with unique hyperspace \(C_2(X)\)
• Shore points in dendroids and conical pointed hyperspaces
• 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
• Compactifications of [0,infinity) with unique hyperspace Fn(X)
• Fans are not c-determined
• Intervals of Continua which are Hilbert Cubes
• On the hyperspace of subcontinua of a finite graph I
• On smooth dendroids
• Hyperspaces of a Continuum
• 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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