Tube-measurability
Classical Analysis and ODEs
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0703807,
title = {Tube-measurability},
author = {Marianna Csörnyei and Laura Wisewell},
journal= {arXiv preprint arXiv:math/0703807},
year = {2007}
}
Comments
4 pages