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Paradoxical characterization of Lebesgue nonmeasurable sets
We show that a set [Formula: see text] is nonmeasurable in the sense of Lebesgue if and only if it has a common density point with its complement [Formula: see text]. Moreover, if there exists a density point of both A and [Formula: see text] , then the set of such points has a positive Lebesgue mea...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Elsevier
2020
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7452515/ https://www.ncbi.nlm.nih.gov/pubmed/32885069 http://dx.doi.org/10.1016/j.heliyon.2020.e04652 |