Tube-measurability

Details Tube-measurability Tube-measurability

2007-03-27

arxiv.org/abs/math/0703807v1

Mathematics

Classical Analysis and ODEs

4 pages

Scientific paper

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.

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