|Title:||Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: Some results and an open problem||Journal:||Contemporary Mathematics||Volume:||690||First page:||69||Last page:||85||Issue Date:||1-Jan-2017||ISSN:||0271-4132||DOI:||10.1090/conm/690/13863||Abstract:||
We study in this paper ordered finite measure algebras from the point of view of Fräissé 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.
|Keywords:||Structural ramsey theory | Topological dynamics||Publisher:||American Mathematical Society||Project:||NSF, Grants DMS-0455285, DMS-0968710 and DMS-1464475|
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