Tube-measurability
classification
🧮 math.CA
keywords
measureoutersetstubesareascomplementscoverscross-sectional
read the original 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.
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