Universal Minimal Flows of Automorphism Groups
نویسندگان
چکیده
AMS Mathematics Subject Classification (2000): 05D10, 05C55, 22A10, 22A05, 22F05, 37B05, 37F20, 54H20.
منابع مشابه
Topological dynamics of automorphism groups, ultrafilter combinatorics, and the Generic Point Problem
For G a closed subgroup of S∞, we provide a precise combinatorial characterization of when the universal minimal flow M(G) is metrizable. In particular, each such instance fits into the framework of metrizable flows developed in [KPT] and [NVT]; as a consequence, each G with metrizable universal minimal flow has the generic point property, i.e. every minimal G-flow has a point whose orbit is co...
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(A) We study in this paper some connections between the Fra¨ıssé theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures. A prime concern of topological dynamics is the study of continuous actions of (Haus-dorff) topological groups G on (Hausdorff) compact spaces X. These are usually referred to as (c...
متن کامل6 M ay 2 00 3 Fräıssé Limits , Ramsey Theory , and Topological Dynamics of Automorphism Groups
(A) We study in this paper some connections between the Fra¨ıssé theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures. A prime concern of topological dynamics is the study of continuous actions of (Hausdorff) topological groups G on (Hausdorff) compact spaces X. These are usually referred to as (co...
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تاریخ انتشار 2003