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

Speaker(s)

Tomasz Weiss

Affiliation

Cardinal Stefan Wyszyński University in Warsaw

Language of the talk

English

Date

Nov. 20, 2024, 4:15 p.m.

Room

room 5050

Seminar

Topology and Set Theory Seminar

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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.

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