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Functions of two variables with large tangent plane sets

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Publication:1270855
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DOI10.1006/jmaa.1997.5848zbMath0915.26005OpenAlexW1968153545MaRDI QIDQ1270855

Zoltán Buczolich

Publication date: 7 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5848


zbMATH Keywords

\(C^1\) functionHausdorff dimensiontangent planetwo-dimensional measure


Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Continuity and differentiation questions (26B05) Hausdorff and packing measures (28A78)


Related Items (1)

Solution to the gradient problem of C. E. Weil



Cites Work

  • The behavior of a function on its critical set
  • A Dense Arcwise Connected Set of Critical Points - Molehills Out of Mountains
  • Differential Topology
  • A property of derivatives
  • The measure of the critical values of differentiable maps


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