A+ CATEGORY SCIENTIFIC UNIT

On Nikodym-type sets in high dimensions

Volume 163 / 2004

Themis Mitsis Studia Mathematica 163 (2004), 189-192 MSC: Primary 28A75; Secondary 28A78. DOI: 10.4064/sm163-2-6

Abstract

We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.

Authors

  • Themis MitsisDepartment of Mathematics
    University of Crete
    Knossos Ave.
    71409 Iraklio, Greece
    e-mail

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