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Some remarks on subsets of R defined in terms of the translations of sets which belong to the four most common sigma ideals in R, part II

Speaker(s)
Tomasz Weiss
Affiliation
Cardinal Stefan Wyszyński University in Warsaw
Language of the talk
English
Date
Nov. 27, 2024, 4:15 p.m.
Room
room 5050
Seminar
Topology and Set Theory Seminar

We are interested in subsets of the Cantor space C. Assume that M denotes meager sets, N stands for null sets, M/\N is the intersection ideal, and + is the standard addition in C. We prove in the ZFC the following fact. Suppose that X is such that for every set F from M/\N,  X+F is null. Then for every F from M/\N,   X+F is meager.