Local connectedness in hyperspaces

DOI10.1216/rmjm/1181069431zbMath1139.54008OpenAlexW2019716445MaRDI QIDQ5920478

Janusz J. Charatonik, Alejandro Illanes

Publication date: 14 March 2008

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069431

zbMATH Keywords

hyperspacecontinuumconnected(strong) (local) arcwise connectedness

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Connected and locally connected spaces (general aspects) (54D05) Higher-dimensional local connectedness (54F35)

Related Items (11)

Almost meshed locally connected continua have unique second symmetric product ⋮ Induced mappings on symmetric products, some answers ⋮ Uniqueness of hyperspaces for Peano continua ⋮ Rigidity of symmetric products ⋮ On unicoherence and contractibility of hyperspaces of nonmetrizable continua ⋮ Cells in $n$-fold hyperspaces ⋮ The hyperspace \(F_n^K(X)\) ⋮ Almost meshed locally connected continua have unique third symmetric product ⋮ Unnamed Item ⋮ Rigidity of hyperspaces ⋮ Meshed continua have unique second and third symmetric products

Cites Work

• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• On symmetric products of continua
• A homogeneous continuum without the property of Kelley
• Connectedness im Kleinen and local connectedness in \(2^x\) and C(X)
• Connectivity properties in hyperspaces and product spaces
• More on Connectedness im Kleinen and Local Connectedness in C(X)
• Hyperspaces of a Continuum
• Local connectedness in hyperspaces
• On the hyperspaces \({\mathcal C}_n(X)\) of a continuum \(X\)
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