Tube-measurability

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Define an outer measure on R^n by taking the infimum, over all covers of the set by tubes, of the sum of the cross-sectional areas of the tubes. We show that the only measurable sets for this outer measure are its null sets and their complements.
4 pages

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Classical Analysis and ODEs, 28A12

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http://salesiana.dossiersoluciones.com/handle/123456789/126486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703807
 http://arxiv.org/abs/math/0703807

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arXiv