The Polish Lie ring of vector fields on a smooth manifold is algebraically determined

DOI10.1016/j.topol.2012.03.007zbMath1254.17022OpenAlexW2074239696MaRDI QIDQ428815

Robert R. Kallman, Alexander P. McLinden

Publication date: 25 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.03.007

zbMATH Keywords

diffeomorphismvector fieldLie ringdescriptive set theorysmooth manifoldPolish Lie ring

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Cites Work

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• The infinite unitary and related groups are algebraically determined Polish groups
• Lie algebra of vector fields and complex structure
• Isomorphisms and ideals of the Lie algebras of vector fields
• Topology and descriptive set theory
• Uniqueness results for the ax+b group and related algebraic objects
• On the Measurability of Orbits in Borel Actions
• Über innere Abbildungen
• The Lie Algebra of a Smooth Manifold

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