Published 2017
| Accepted Version
Book Section - Chapter
Open
Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem
Chicago
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Abstract
We study in this paper ordered finite measure algebras from the point of view of Fraïssé and Ramsey theory. We also propose an open problem, which is a homogeneous version of the Dual Ramsey Theorem of Graham-Rothschild, and derive consequences of a positive answer to the study of the topological dynamics of the automorphism group of a standard probability space and also the group of measure preserving homeomorphisms of the Cantor space.
Additional Information
© 2017 American Mathematical Society. A.S.K. was partially supported by NSF grants DMS-0455285, DMS-0968710 and DMS-1464475. S.T. was partially supported by grants from NSERC and CNRS.Attached Files
Accepted Version - KechrisSokicTodorcevic01.pdf
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KechrisSokicTodorcevic01.pdf
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Additional details
- Eprint ID
- 78728
- Resolver ID
- CaltechAUTHORS:20170630-111205546
- NSF
- DMS-0455285
- NSF
- DMS-0968710
- NSF
- DMS-1464475
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Centre National de la Recherche Scientifique (CNRS)
- Created
-
2017-06-30Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Series Name
- Contemporary Mathematics
- Series Volume or Issue Number
- 690