Uniqueness of hyperspaces for Peano continua

DOI10.1216/RMJ-2013-43-5-1583zbMath1280.54018MaRDI QIDQ380206

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

Publication date: 13 November 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1382705670

zbMATH Keywords

meshedhyperspacecontinuumdendritePeano continuumalmost meshedlocal 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 (16)

Dendrites which are determined by their positive Whitney levels ⋮ On the uniqueness of the \(n\)-fold pseudo-hyperspace suspension for locally connected continua ⋮ Almost meshed locally connected continua have unique second symmetric product ⋮ Rigidity of symmetric products ⋮ The hyperspace \(H S_m^n(X)\) for a finite graph \(X\) is unique ⋮ Uniqueness of the \((n,m)\)-fold hyperspace suspension for continua ⋮ Framed continua have unique \(n\)-fold hyperspace suspension ⋮ Periodic points and transitivity on dendrites ⋮ Finite graphs have unique second and third symmetric product suspension ⋮ Unnamed Item ⋮ \(n\)-fold hyperspaces as cones ⋮ Graphs have unique quotient hyperspace \(\mathcal{C}_1^n(X)\) ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Rigidity of hyperspaces ⋮ Unnamed Item ⋮ Meshed continua have unique second and third symmetric products

Cites Work

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