Measure Theory

  • Gerald A. Edgar
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter contains the background from measure theory that is required to understand the Hausdorff dimension. It is true that the Hausdorff dimension can be defined in half a page without reference to measure theory, but when it is done that way there is no indication of the motivation for the definition.


Lebesgue Measure Hausdorff Dimension Measure Theory Number System Fractal Geometry 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

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

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