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.
@article{urn:eudml:doc:41802,
title = {A generalization of the Nikodym boundedness theorem.},
journal = {Collectanea Mathematica},
volume = {58},
year = {2007},
pages = {151-154},
zbl = {1129.28001},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41802}
}
Stuart, Christopher. A generalization of the Nikodym boundedness theorem.. Collectanea Mathematica, Tome 58 (2007) pp. 151-154. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41802/