Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-28T15:11:54.090Z Has data issue: false hasContentIssue false

Countable models and the theory of Borel equivalence relations

Published online by Cambridge University Press:  30 March 2017

Peter Cholak
Affiliation:
University of Notre Dame, Indiana
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Howard, Becker [1998], Polish group actions: Dichotomies and generalized embeddings, Journalof the American Mathematical Society, vol. 11, pp. 397–449.Google Scholar
Howard, Becker and Alexander S., Kechris [1996], The descriptive set theory of Polish group actions, Cambridge University Press, Cambridge.
L.A., Harrington, A.S., Kechris, and A., Louveau [1990], A Glimm-Effros dichotomy forBorel equivalence relations, Journal of the American Mathematical Society, vol. 3, no. 4, pp. 903–928.
Greg, Hjorth [2000], Classification and orbit equivalence relations, American Mathematical Society, Providence.
Greg, Hjorth and Alexander S., Kechris [1995], Analytic equivalence relations and Ulmtypeclassifications, The Journal of Symbolic Logic, vol. 60, no. 4, pp. 1273–1300.Google Scholar
Greg, Hjorth and Alexander S., Kechris [1997], New dichotomies for Borel equivalence relations, The Bulletin of Symbolic Logic, vol. 3, no. 3, pp. 329–346.Google Scholar
Greg, Hjorth and Slawomir, Solecki [1999], Vaught's conjecture and the Glimm-Effros propertyfor Polish transformation groups, Transactions of the AmericanMathematical Society, vol. 351, no. 7, pp. 2623–2641.Google Scholar
Garvin, Melles [1992], One cannot show from ZFC that there is an Ulm-type classificationof the countable torsion-free abelian groups, Set theory of the continuum Berkeley, CA, 1989., Springer, New York, pp. 293–309.
Ramez L., Sami [1994], Polish group actions and the Vaught conjecture, Transactions of theAmerican Mathematical Society, vol. 341, no. 1, pp. 335–353.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×