59 research outputs found
Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
It is a well-known fact, that the greatest ambit for a topological group
is the Samuel compactification of with respect to the right uniformity on
We apply the original destription by Samuel from 1948 to give a simple
computation of the universal minimal flow for groups of automorphisms of
uncountable structures using Fra\"iss\'e theory and Ramsey theory. This work
generalizes some of the known results about countable structures.Comment: 12 page
Automorphisms on graphs (New developments of transformation groups)
We report several known results on automorphism groups of structures related to Ramsey properties
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