Model theoretic aspects of the Ellis semigroup
نویسنده
چکیده
Let G be a group definable in a theory T . For every model M of T , the space SG(M) of the complete G-types over M is a G M -flow. We compare the Ellis semigroups related to the flows SG(M) and SG(N) when M ≺ ∗ N , focusing particularly on the groups into which the minimal left ideals in these semigroups split. In the case where T is an o-minimal expansion of the theory of reals and G is definably compact we show that these groups are isomorphic to the quotient group G/G00.
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