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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Hausdorff dimension of graphs of density continuous functions. II
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by Zoltán Buczolich and Krzysztof Ostaszewski
Proc. Amer. Math. Soc. 123 (1995), 1821-1825
DOI: https://doi.org/10.1090/S0002-9939-1995-1242076-6
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Abstract:

In this paper we complete the proof of the fact that the Hausdorff dimensions of graphs of density continuous functions vary continuously between one and two. This result was announced in our previous paper, but the proof there contained a gap and the construction given there should also be slightly modified. This correction is done in this paper.
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1821-1825
  • MSC: Primary 28A75; Secondary 26A15, 54C30
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1242076-6
  • MathSciNet review: 1242076