Vaught's conjecture and the glimm-effros property for polish transformation groups

  • Greg Hjorth
  • , Slawomir Solecki

Research output: Contribution to journalArticlepeer-review

Abstract

We extend the original Glimm-Effros theorem for locally compact groups to a class of Polish groups including the nilpotent ones and those with an invariant metric. For this class we thereby obtain the topological Vaught conjecture.

Original languageEnglish (US)
Pages (from-to)2623-2641
Number of pages19
JournalTransactions of the American Mathematical Society
Volume351
Issue number7
DOIs
StatePublished - 1999
Externally publishedYes

Keywords

  • Orbit equivalence relation
  • Polish group

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Vaught's conjecture and the glimm-effros property for polish transformation groups'. Together they form a unique fingerprint.

Cite this