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- W1978395842 abstract "Let $(X,mathcal {B},m)$ be a Lebesgue space, $m(X) = 1$, and let T be an invertible measurable nonsingular aperiodic transformation of X onto X. If S is a set of r integers, $r geqslant 2$, then there exists a set A of measure less than ${r^{ - 1}}Sigma _{k = 1}^r{k^{ - 1}}$ such that $X = { cup _{n in S}}{T^n}A$. Thus for every infinite set of integers W there exist sets A of arbitrarily small measure such that $X = { cup _{n cap W}}{T^n}A$." @default.
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- W1978395842 date "1978-03-01" @default.
- W1978395842 modified "2023-10-18" @default.
- W1978395842 title "Sweeping out on a set of integers" @default.
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- W1978395842 doi "https://doi.org/10.1090/s0002-9939-1978-0509244-x" @default.
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