Hausdorff continua and the uniform property of Effros

DOI10.1016/J.TOPOL.2017.08.009zbMath1394.54009OpenAlexW2746983440MaRDI QIDQ2405084

Sergio Macías-Alvarez

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.08.009

zbMATH Keywords

uniformityhomogeneous spacecontinuous decompositionmetric continuumproperty of KelleyHausdorff continuumuniform property of Effroscell-like continuumset function \(\mathcal T\)Jones' aposyndetic decompositionPrajs' mutual aposyndetic decompositionset function \(\mathcal K\)uniformly completely regular map

Mathematics Subject Classification ID

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

Related Items (2)

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

Cites Work

• On Jones' set function \(\mathcal{T}\) and the property of Kelley for Hausdorff continua
• On continuously irreducible continua
• Homogeneous continua for which the set function \(\mathcal T\) is continuous
• On \(\mathcal{T}\)-closed sets
• A homogeneous continuum without the property of Kelley
• Completely regular mappings
• Mutually Aposyndetic Decomposition of Homogeneous 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
• Mapping Theorems for Non-Compact Spaces
• Topologies on Spaces of Subsets
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