The uniform Effros property and local homogeneity

DOI10.1515/MS-2023-0075OpenAlexW4385578126MaRDI QIDQ6133198

Sergio Macías-Alvarez

Publication date: 18 August 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0075

zbMATH Keywords

uniformityhomogeneous spacecompact Hausdorff spacelocal homogeneityEffros continuumHausdorff continuumuniform property of EffrosJones' aposyndetic decompositionPrajs' mutual aposyndetic decompositionset function \(\mathcal{T} \)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continua and generalizations (54F15) Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Uniform structures and generalizations (54E15)

Cites Work

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• On Jones' set function \(\mathcal{T}\) and the property of Kelley for Hausdorff continua
• A homogeneous continuum without the property of Kelley
• Hausdorff continua and the uniform property of Effros
• Local homogeneity
• Mutually Aposyndetic Decomposition of Homogeneous Continua
• A Homogeneous Continuum that is Non-Effros
• On the local homogeneity and the invertibility of a topological space
• Topics on Continua
• Set Function T
• Homeomorphism Groups and Coset Spaces

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