A Topological Group Having no Homeomorphisms Other than Translations

DOI10.2307/1999629zbMath0573.22001OpenAlexW4239042264MaRDI QIDQ3691955

Jan van Mill

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999629

zbMATH Keywords

translationhomeomorphismlocally connected topological abelian group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological transformation groups (57S99) Counterexamples in general topology (54G20) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (13)

A weakly homogeneous rigid space ⋮ Possible classification of finite-dimensional compact Hausdorff topological algebras ⋮ Topological finiteness, Bernstein sets, and topological rigidity ⋮ On uniquely homogeneous spaces, I ⋮ There are arbitrarily large uniquely homogeneous spaces ⋮ Topologies on groups determined by discrete subsets ⋮ Sierpiński's technique and subsets of \(\mathbb{R}{}\) ⋮ Covering group theory for topological groups ⋮ Domain Invariance in Infinite-Dimensional Linear Spaces ⋮ The homeomorphism group of the first uncountable ordinal ⋮ A method for constructing ordered continua ⋮ A construction of topological spaces rigid for continuous onto maps -- an application of Shelah's lemma ⋮ An almost uniquely homogeneous subgroup of \({\mathbb{R}}^ n\)

Cites Work

• Rigid continua and topological group-pictures
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• Transformation groups and \(C^ *\)-algebras
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Rigid homogeneous chains
• Strong Local Homogeneity Does not Imply Countable Dense Homogeneity
• On All Kinds of Homogeneous Spaces
• Fuglede's Theorem and Limits of Spectral Operators
• Concerning similarity transformations of linearly ordered sets
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