Continuity of the Jones’ set function $\mathcal {T}$

DOI10.1090/proc/13379zbMath1356.54026arXiv1511.07083OpenAlexW2962998735MaRDI QIDQ5298212

Carlos Uzcátegui, Javier Camargo

Publication date: 14 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07083

zbMATH Keywords

continuumset function \(\mathcal{T}\)Jones' decomposition theorem

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua and generalizations (54F15)

Related Items (6)

The hyperspace of \(\mathcal{T} \)-closed subcontinua ⋮ Dynamics with Jones' set function \(\mathcal{T}\) ⋮ On Jones' set function \(\mathcal{T}\) and the property of Kelley for Hausdorff continua ⋮ Dynamics with set-valued functions and coselections ⋮ Some aspects related to the Jones' set function \(\mathcal{T}\) ⋮ On \(\mathcal{T}\)-ft sets and the hyperspace of \(\mathcal{T}\)-closed sets

Cites Work

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• On continuously irreducible continua
• Homogeneous continua for which the set function \(\mathcal T\) is continuous
• On \(\mathcal{T}\)-closed sets
• The set functions T and K and irreducible continua
• A decomposition theorem for a class of continua for which the set function T is continuous
• Continua for which the set Function T is Continuous
• Concerning Non-Aposyndetic Continua

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