On (strongly) \((\Theta\)-)discrete homogeneous spaces

DOI10.1515/ms-2023-0115arXiv2208.00506OpenAlexW4389917164MaRDI QIDQ6180440

Vitalij A. Chatyrko, Alexandre Karassev

Publication date: 19 January 2024

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

Full work available at URL: https://arxiv.org/abs/2208.00506

zbMATH Keywords

Bing space(strong) \((\Theta)\)-homogeneity(strong) discrete homogeneityRitter space

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Special properties of topological spaces (54F99) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Cites Work

• A characterization of the universal curve and a proof of its homogeneity
• A universal coregular countable second-countable space
• On topological infinite deficiency
• The connected countable spaces of Bing and Ritter are topologically homogeneous
• On the 2-homogeneity of Cartesian products
• Characterization of Some Zero-Dimensional Separable Metric Spaces
• On All Kinds of Homogeneous Spaces
• A Connected, Locally Connected, Countable Hausdorff Space
• A connected countable Hausdorff space
• Some Theorems on n-Homogeneous Continua
• Characterizing 𝑘-dimensional universal Menger compacta
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