On Jones' set function \(\mathcal{T}\) and the property of Kelley for Hausdorff continua

DOI10.1016/j.topol.2017.04.025zbMath1373.54018OpenAlexW2610190741MaRDI QIDQ530200

Sergio Macías-Alvarez

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.04.025

zbMATH Keywords

uniformitycontinuous decompositionmetric continuumatomic mapupper semicontinuous decompositionproperty of Kelleyproperty of Kelley weaklyEffros continuumHausdorff continuumidempotency on closed setslower semicontinuous decompositionset function \(\mathcal{T}\)uniform property of Effros

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20)

Related Items (3)

Hausdorff continua and the uniform property of Effros ⋮ The uniform Effros property and local homogeneity ⋮ On the property of Kelley for Hausdorff continua

Cites Work

• Various types of local connectedness in \(n\)-fold hyperspaces
• Homogeneous continua for which the set function \(\mathcal T\) is continuous
• On \(\mathcal{T}\)-closed sets
• A homogeneous continuum without the property of Kelley
• Induced mappings on hyperspaces
• On a Certain Type of Homogeneous Plane Continuum
• A decomposition theorem for a class of continua for which the set function T is continuous
• A Homogeneous Continuum that is Non-Effros
• Continuity of the Jones’ set function $\mathcal {T}$
• Core decompositions of continua
• A Note on Connectedness Im Kleinen
• Continuum Neighborhoods and Filterbases
• Continua for which the set Function T is Continuous
• On atomic mappings
• Concerning Non-Aposyndetic Continua
• Topologies on Spaces of Subsets
• Wild 0-dimensional sets and the fundamental group
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