Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Vaught's conjecture and the Glimm-Effros property for Polish transformation groups


Authors: Greg Hjorth and Slawomir Solecki
Journal: Trans. Amer. Math. Soc. 351 (1999), 2623-2641
MSC (1991): Primary 04A15
Published electronically: March 10, 1999
MathSciNet review: 1467467
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 04A15

Retrieve articles in all journals with MSC (1991): 04A15


Additional Information

Greg Hjorth
Affiliation: Department of Mathematics, 253–37, California Institute of Technology, Pasadena, California 91125
Address at time of publication: Department of Mathematics, MSB 6363, University of California, Los Angeles, California 90095-1555
Email: greg@math.ucla.edu

Slawomir Solecki
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: ssolecki@indiana.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02141-8
PII: S 0002-9947(99)02141-8
Keywords: Polish group, orbit equivalence relation
Received by editor(s): August 18, 1995
Received by editor(s) in revised form: June 16, 1997
Published electronically: March 10, 1999
Article copyright: © Copyright 1999 American Mathematical Society