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
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
- DMS-0455285
- NSF
- DMS-0968710
- NSF
- DMS-1464475
- NSF
- 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