On the \(n\)-fold hyperspace suspension of continua.

DOI10.1016/j.topol.2003.08.023zbMath1124.54003OpenAlexW2058366737MaRDI QIDQ1426481

Sergio Macías-Alvarez

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.topol.2003.08.023

zbMATH Keywords

ContinuumCantor manifoldProperty of Kelley\(n\)-fold symmetric productAposyndesisHereditarily indecomposable continuumIndecomposable continuumUnicoherent continuumUniformly pathwise connected

Mathematics Subject Classification ID

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

Related Items (17)

Induced mappings on \(C_n(X)/C_{n_K}(X)\) ⋮ On the uniqueness of the \(n\)-fold pseudo-hyperspace suspension for locally connected continua ⋮ Unnamed Item ⋮ Almost meshed locally connected continua have unique second symmetric product ⋮ Unnamed Item ⋮ 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 ⋮ Properties of the (n, m)−fold hyperspace suspension of continua ⋮ Unnamed Item ⋮ \(\frac{1}{2}\)-homogeneous \(n\)-fold hyperspace suspensions ⋮ Induced maps on \(n\)-fold symmetric product suspensions ⋮ On the \(n\)-fold symmetric product suspensions of a continuum ⋮ The hyperspace \(F_n^K(X)\) ⋮ Graphs have unique quotient hyperspace \(\mathcal{C}_1^n(X)\) ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Unnamed Item

Cites Work

• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• Aposyndetic properties of unicoherent continua
• Hyperspaces of Peano continua are Hubert cubes
• The space of subcontinua of a 2-dimensional continuum is infinite dimensional
• Inverse limits and multicoherence
• Hyperspaces of a Continuum
• On the hyperspaces \({\mathcal C}_n(X)\) of a continuum \(X\)
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