Haar-like smallness in Polish groups

Speaker(s)

Jarosław Swaczyna

Affiliation

Łódź University of Technology

Date

June 7, 2017, 4:15 p.m.

Room

room 5050

Seminar

Topology and Set Theory Seminar

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In locally compact Polish groups there is a very natural $\sigma$-ideal of null sets with respect to Haar-measure. In non locally compact groups there is no Haar measure, however Christensen introduced a notion of Haar-null sets which is an analogue of locally compact case. In 2013 Darji introduced a similar notion of Haar-meager sets. During my talk I will present some equivalent definition of Haar-null sets which leads us to joint generalization of those notions. This is joint work with T. Banakh, Sz. Głąb and E. Jabłońska.

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