Geodesic
Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 709-722

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DOI

It is a well-known fact that the greatest ambit for a topological group $G$ is the Samuel compactification of $G$ with respect to the right uniformity on $G$ . We apply the original description by Samuel from 1948 to give a simple computation of the universal minimal flow for groups of automorphisms of uncountable structures using Fraϊssé theory and Ramsey theory. This work generalizes some of the known results about countable structures
DOI : 10.4153/CMB-2012-023-4
Mots-clés : 37B05, 03E02, 05D10, 22F50, 54H20, universal minimal flows, ultrafilter flows, Ramsey theory 
Bartošová, Dana. Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 709-722. doi: 10.4153/CMB-2012-023-4
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     title = {Universal {Minimal} {Flows} of {Groups} of {Automorphisms} of {Uncountable} {Structures}},
     journal = {Canadian mathematical bulletin},
     pages = {709--722},
     year = {2013},
     volume = {56},
     number = {4},
     doi = {10.4153/CMB-2012-023-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-023-4/}
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