The natural semidirect product \({\mathbb{R}^n \rtimes G(n)}\) is algebraically determined

DOI10.1016/J.TOPOL.2015.12.004zbMath1330.22002OpenAlexW2210718701MaRDI QIDQ906505

We'am M. Al-Tameemi, Robert R. Kallman

Publication date: 21 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.12.004

zbMATH Keywords

semidirect productsgroup actiondescriptive set theoryanalytic setPolish topological groupsalgebraically determined

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Descriptive set theory (03E15) General theory of (C^*)-algebras (46L05) Noncompact transformation groups (22F99)

Related Items (1)

Automatic continuity of abstract homomorphisms between locally compact and Polish groups

Cites Work

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• Algebraically determined semidirect products
• The infinite unitary and related groups are algebraically determined Polish groups
• Homomorphismes abstraits de groupes algébriques simples
• Descriptive set theory
• Topology and descriptive set theory
• Uniqueness results for the ax+b group and related algebraic objects
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures

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