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M. Kompatscher:
"Endomorphisms monoids of omega-categorical structures";
Talk: International Seminar vom Institut für Algebra, Technische Universität Dresden (invited); 2015-04-17.

Two omega-categorical structures are bi-interpretable iff their automorphism groups are isomorphic as topological groups. For a lot of well-known omega-categorical structures this theorem still holds, if we ignore the topology. Is this true in general? The answer is no: In 1990 Evans and Hewitt constructed two omega-categorical structures with isomorphic, but not topologically isomorphic automorphism groups. In my talk I want to discuss their example and show that also the endomorphism monoids of the structures are isomorphic, but not topologically isomorphic.

omega-categorical structures, oligomorphic permutation groups