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Concentrated and rarified sets of points

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Acta Mathematica

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  1. L. C. Young. Note on the theory of measure. Proceedings of the Cambridge Philosophical Society. Vol. XXVI. Part 1.L. C. Young considers variation of a function on a given set as measure of this set. The definition we are using is not so general and it is not obvious that if variation of some functions on a given set is positive then also measure of the set with respect to some function is positive. We shall consider in ¢ 3B-measurable sets of measure zero with respect to any function.

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  1. Trinity College, Cambridge

    A. S. Besicovitch

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  1. A. S. Besicovitch
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Besicovitch, A.S. Concentrated and rarified sets of points. Acta Math. 62, 289–300 (1933). https://doi.org/10.1007/BF02393607

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  • DOI: https://doi.org/10.1007/BF02393607

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