On continuously irreducible continua

DOI10.1016/j.topol.2009.01.024zbMath1178.54016OpenAlexW2049981243MaRDI QIDQ837563

Sergio Macías-Alvarez

Publication date: 20 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.01.024

zbMATH Keywords

hyperspaceidempotenthomogeneous continuumcontinuous decomposition\(Z\)-setupper semicontinuous decomposition(continuously) irreducible continuum\(\mathcal T\)-additivepoint \(\mathcal T\)-symmetricset function \(\mathcal T\)type \(\lambda\) continuum

Mathematics Subject Classification ID

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

Related Items (6)

Continuity of the Jones’ set function $\mathcal {T}$ ⋮ Hausdorff continua and the uniform property of Effros ⋮ Embedding suspensions into hyperspace suspensions ⋮ On \(\mathcal{T}\)-closed sets ⋮ On freely decomposable maps ⋮ Unnamed Item

Cites Work

• Homogeneous continua for which the set function \(\mathcal T\) is continuous
• Extending Whitney maps
• Monotone decompositions of irreducible Hausdorff continua
• A decomposition theorem for a class of continua for which the set function T is continuous
• Induced Universal Maps and Some Hyperspaces with the Fixed Point Property
• On the structure of tranches in continuously irreducible continua
• Continuum Neighborhoods and Filterbases
• Continua for which the set Function T is Continuous
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