Some Measure Theory

Part of the Universitext book series (UTX)


We remind the reader of some terminology. Given a set X, the power set of X, denoted P(X), is the collection of all subsets of X.


Closed Ball Hausdorff Measure Lebesgue Point Outer Measure Nonempty Open Subset 
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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    P. Mattila, Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press (1995). (Preface and  Sections 4.7 and  5.5)
  2. [FALC]
    K. J. Falconer, The Geometry of Fractal Sets, Cambridge University Press (1985). (Preface and  Sections 2.1,  4.7,  5.1,  5.2,  5.3,  6.5, and  6.6)
  3. [BES4]
    A. S. Besicovitch, On approximation in measure to Borel sets by \(F_{\sigma}\) -sets, J. London Math. Soc., Vol. 29 (1954), 382–383. ( Section 5.4)MathSciNetMATHCrossRefGoogle Scholar
  4. [RUD]
    W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill Book Company (1987). (Preface and Many Sections)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Lyman Briggs College, Michigan State UniversityEast LansingUSA

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