Under natural assumptions about the measure spaces, the topological size as well as the algebraic size of the family of measurable real functions on the product measure space satisfying or not the conclusion of the Fubini theorem are analyzed. In particular, a (nontrivial) nonlineable set is provided.

中文翻译：

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反富比尼函数和伪富比尼函数

在对测度空间的自然假设下，分析了满足或不满足Fubini定理结论的乘积测度空间上可测实函数族的拓扑大小和代数大小。特别地，提供了一个（非平凡的）非线性集合。