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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

Prelegent(ci)
Tomasz Weiss
Afiliacja
Cardinal Stefan Wyszyński University in Warsaw
Język referatu
angielski
Termin
27 listopada 2024 16:15
Pokój
p. 5050
Seminarium
Seminarium „Topologia i teoria mnogości”

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.