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arXiv · 2103.04292

Lorentz and Gale-Ryser theorems on general measure spaces

Santiago Boza·Martin Křepela·Javier Soria
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Abstract

Based on the Gale-Ryser theorem for the existence of suitable $(0,1)$-matrices for different partitions of a natural number, we revisit the classical result of G. G. Lorentz 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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Santiago Boza, Martin Křepela, Javier Soria. 2021-03-07. Lorentz and Gale-Ryser theorems on general measure spaces. https://arxiv.org/abs/2103.04292

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