On Nikodym-type sets in high dimensions

Themis Mitsis

Studia Mathematica (2004)

  • Volume: 163, Issue: 2, page 189-192
  • ISSN: 0039-3223

Abstract

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

How to cite

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Themis Mitsis. "On Nikodym-type sets in high dimensions." Studia Mathematica 163.2 (2004): 189-192. <http://eudml.org/doc/285294>.

@article{ThemisMitsis2004,
abstract = {We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.},
author = {Themis Mitsis},
journal = {Studia Mathematica},
keywords = {Nikodym set; Hausdorff dimension},
language = {eng},
number = {2},
pages = {189-192},
title = {On Nikodym-type sets in high dimensions},
url = {http://eudml.org/doc/285294},
volume = {163},
year = {2004},
}

TY - JOUR
AU - Themis Mitsis
TI - On Nikodym-type sets in high dimensions
JO - Studia Mathematica
PY - 2004
VL - 163
IS - 2
SP - 189
EP - 192
AB - We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.
LA - eng
KW - Nikodym set; Hausdorff dimension
UR - http://eudml.org/doc/285294
ER -

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