Skip to content
Register Sign in Wishlist
Absolute Measurable Spaces

Absolute Measurable Spaces

$131.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2008
  • availability: Available
  • format: Hardback
  • isbn: 9780521875561

$ 131.00 (C)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • Absolute measurable space and absolute null space are very old topological notions, developed from well-known facts of descriptive set theory, topology, Borel measure theory and analysis. This monograph systematically develops and returns to the topological and geometrical origins of these notions. Motivating the development of the exposition are the action of the group of homeomorphisms of a space on Borel measures, the Oxtoby-Ulam theorem on Lebesgue-like measures on the unit cube, and the extensions of this theorem to many other topological spaces. Existence of uncountable absolute null space, extension of the Purves theorem and recent advances on homeomorphic Borel probability measures on the Cantor space, are among the many topics discussed. A brief discussion of set-theoretic results on absolute null space is given, and a four-part appendix aids the reader with topological dimension theory, Hausdorff measure and Hausdorff dimension, and geometric measure theory.

    • First book on absolute measurable space to emphasize topological, geometrical and analytical properties of such spaces
    • Four-part appendix aids the reader with topics such as topological dimension theory, Hausdorff measure and Hausdorff dimension, and geometric measure theory
    • Presents complete proofs of the Oxtaby-Ulam theorem, and of several theorems on the existence of uncountable absolute null space
    Read more

    Reviews & endorsements

    "The monograph nicely connects classical ideas and examples with newer investigations. The book should be very useful for a wide audience of graduate students and researchers. Starting from basic considerations the reader is gently led to more advanced results and methods. Thanks to an in-depth treatment of the subject, several concepts are thoroughly developed."
    Marek Balcerzak, Mathematical Reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: June 2008
    • format: Hardback
    • isbn: 9780521875561
    • length: 292 pages
    • dimensions: 234 x 156 x 17 mm
    • weight: 0.62kg
    • contains: 85 exercises
    • availability: Available
  • Table of Contents

    1. The absolute property
    2. The universally measurable property
    3. The Homeomorphism Group of X
    4. Real-valued functions
    5. Hausdorff measure and dimension
    6. Martin axiom
    Appendix A. Preliminary material
    Appendix B. Probability theoretic approach
    Appendix C. Cantor spaces
    Appendix D. Dimensions and measures

  • Author

    Togo Nishiura, Wayne State University, Detroit
    Togo Nishiura is Professor Emeritus at Wayne State University, Detroit and Associate Fellow in Mathematics at Dickinson College, Pennsylvania.

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.