Aleksandra Kwiatkowska: Universal minimal flows of the homeomorphism groups of Ważewski dendrites

Dear all,

The seminar meets on Wednesday July 25th at 11:00 in the Institute of
Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building.

Program: Aleksandra Kwiatkowska — Universal minimal flows of the
homeomorphism groups of Ważewski dendrites

For each P ⊆ {3,4,…,ω} there is a continuum called Ważewski dendrite
W_P, we can construct it in the framework of the Fraisse theory. If P is
finite, we prove that the universal minimal flow of the homeomorphism
group H(W_P) is metrizable and we compute it explicitly. This answers a
question of Duchesne. If P is infinite, we show that the universal
minimal flow of H(W_P) is not metrizable. This provides examples of
topological groups which are Roelcke precompact and have a
non-metrizable universal minimal flow with a comeager orbit.

Best,
David

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