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Fractal Measures

  • Gerald A. Edgar
Chapter

Abstract

We will begin with a review of some measure theory, with an eye to the most common measures used in the study of fractals: the Hausdorff measures and the packing measures. In [MTFG]we reached the Hausdorff measure only near the end of the book, because of the prerequisites that had to be taken care of first. Here we start off with it immediately. In [MTFG] the packing measures were barely mentioned. I think if I were starting to write that book today, I would give them a more prominent place, almost as prominent as the Hausdorff measure.

Keywords

Fractal Dimension Hausdorff Measure Fractal Measure Borel Function Packing Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Gerald A. Edgar
    • 1
  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

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