A generalization of the Nikodym boundedness theorem

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Christopher Stuart
In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.

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Stuart, Christopher. “A generalization of the Nikodym boundedness theorem”. Collectanea Mathematica, vol.VOL 58, no. 2, pp. 151-80, https://raco.cat/index.php/CollectaneaMathematica/article/view/57803.