On \(\mathcal{T}\)-closed sets

DOI10.1016/j.topol.2015.09.022zbMath1333.54022OpenAlexW1830398441MaRDI QIDQ890071

Leobardo Fernández, David P. Bellamy, Sergio Macías-Alvarez

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.09.022

zbMATH Keywords

continuumcontinuous decompositionidempotencyset function \(\mathcal{T}\)\(\mathcal{T}\)-closed set\(\mathcal{T}\)-growth bound of a continuumminimal \(\mathcal{T}\)-closed setset function \(\mathcal{K}\)set function \(\mathcal{T}^\infty\)

Mathematics Subject Classification ID

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

Related Items (7)

Continuity of the Jones’ set function $\mathcal {T}$ ⋮ Hausdorff continua and the uniform property of Effros ⋮ The hyperspace of \(\mathcal{T} \)-closed subcontinua ⋮ \(\mathcal{T}\)-closed sets ⋮ On Jones' set function \(\mathcal{T}\) and the property of Kelley for Hausdorff continua ⋮ 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
• Non-aposyndesis and non-hereditary decomposability
• The set functions T and K and irreducible continua
• Mutually Aposyndetic Decomposition of Homogeneous Continua
• A decomposition theorem for a class of continua for which the set function T is continuous
• On the structure of tranches in continuously irreducible continua
• Continua for which the set Function T is Continuous
• Concerning Non-Aposyndetic Continua

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