%0 Journal Article %A Boza, Santiago %A Křepela, Martin %A Soria De Diego, Francisco Javier %T Lorentz and Gale–Ryser theorems on general measure spaces %D 2022 %@ 0308-2105 %U https://hdl.handle.net/20.500.14352/71974 %X 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. %~