Abstract
Based on the Gale–Ryser theorem [2, 6], for the existence of suitable $(0,1)$-matrices for different partitions of a natural number, we revisit the classical result of Lorentz [4] regarding the characterization of a plane measurable set, in terms of its cross-sections, and extend it to general measure spaces.
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Schedule a callMore From: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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