Acta Mathematica

, Volume 62, Issue 1, pp 289–300 | Cite as

Concentrated and rarified sets of points

  • A. S. Besicovitch


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  1. 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.Google Scholar

Copyright information

© Almqvist & Wiksells Boktryckeri-A.-B. 1933

Authors and Affiliations

  • A. S. Besicovitch
    • 1
  1. 1.Trinity CollegeCambridge

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