The topological structure of Polish groups and groupoids of measure space transformations

DOI10.2977/prims/1195163723zbMath0851.22001OpenAlexW2111121092MaRDI QIDQ1913423

Alexandre I. Danilenko

Publication date: 11 November 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195163723

zbMATH Keywords

groupoidPolish groupsmeasure space transformations

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Homotopy equivalences in algebraic topology (55P10) Noncommutative dynamical systems (46L55) General groups of measure-preserving transformations (28D15) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items

Connected Polish groups with ample generics ⋮ Fundamental groups of some ergodic equivalence relations of type II\(_{\infty}\) ⋮ Topological properties of full groups ⋮ Smooth automorphisms and path-connectedness in Borel dynamics ⋮ The isometry group of \(L^p(\mu ,X)\) is SOT-contractible ⋮ Outer automorphism group of the ergodic equivalence relation generated by translations of dense subgroup of compact group on its homogeneous space

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