Skip to main content

Some Measure Theory

  • Chapter
  • First Online:
Vitushkin’s Conjecture for Removable Sets

Part of the book series: Universitext ((UTX))

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Referneces

  1. P. Mattila, Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press (1995). (Preface and Sections 4.7 and 5.5)

  2. 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. 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)

    Article  MathSciNet  MATH  Google Scholar 

  4. W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill Book Company (1987). (Preface and Many Sections)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to James J. Dudziak .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Dudziak, J.J. (2010). Some Measure Theory. In: Vitushkin’s Conjecture for Removable Sets. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6709-1_5

Download citation

Publish with us

Policies and ethics