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Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem

Kechris, A. S. and Sokić, M. and Todorcevic, S. (2017) Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem. In: Foundations of Mathematics: Logic at Harvard: Essays in Honor of W. Hugh Woodin's 60th Birthday. Contemporary Mathematics . No.690. American Mathematical Society , Providence, RI, pp. 69-85. ISBN 978-1-4704-2256-1. https://resolver.caltech.edu/CaltechAUTHORS:20170630-111205546

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1090/conm/690DOIBook Table of Contents
http://www.ams.org/books/conm/690/PublisherBook Table of Contents
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.
Funders:
Funding AgencyGrant Number
NSFDMS-0455285
NSFDMS-0968710
NSFDMS-1464475
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Centre National de la Recherche Scientifique (CNRS)UNSPECIFIED
Series Name:Contemporary Mathematics
Issue or Number:690
Classification Code:2010 Mathematics Subject Classification. Primary 03C13, 03C15, 05D10, 37B05, 37A15. Secondary 54H20
Record Number:CaltechAUTHORS:20170630-111205546
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170630-111205546
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78728
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Jun 2017 18:49
Last Modified:03 Oct 2019 18:11

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