Groups of measurable functions

Speaker(s)

Maciej Malicki

Affiliation

Warsaw School of Economics

Date

Nov. 30, 2016, 4:15 p.m.

Room

room 5050

Seminar

Topology and Set Theory Seminar

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Let G be a Polish group, and let m be a non-atomic probability measure on the interval  [0,1].  We define L_0(G) to be the Polish group of all m-equivalence classes of m -measurable functions with values in G. The multiplication in L_0(G) is pointwise, and the the topology is of convergence in measure.
In this talk, I will be interested in three notions (either on the level of G, or L_0(G)): ample generics, topological similarity, and cyclically dense conjugacy classes. This is joint work with Aleksandra Kwiatkowska.

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