Absolute Measurable Spaces (Encyclopedia of Mathematics and its Applications, Series Number 120) - Image 1

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Cambridge University Press Absolute Measurable Spaces (Encyclopedia of Mathematics and its Applications, Series Number 120)

Name: Absolute Measurable Spaces (Encyclopedia of Mathematics and its Applications, Series Number 120)
Brand: Cambridge University Press
Price: 98.39 GBP
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Product Description 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. Review 'The monograph nicely connects classical ideas and examples with newer investigations. … should be very useful for a wide audience of graduate students and researchers.' Mathematical Reviews Book Description Emphasizes topological, geometrical and analytical properties of absolute measurable spaces; of interest for real analysis, set theory and measure theory. About the Author Togo Nishiura is Professor Emeritus at Wayne State University, Detroit and Associate Fellow in Mathematics at Dickinson College, Pennsylvania.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521875560
Category: Books > Subjects > Crafts, Hobbies & Home > Antiques & Collectables > Reference & Price Guides
Domain: Amazon UK
Release Date: 08 May 2008
Listed Since: 19 October 2006

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Cambridge University Press Absolute Measurable Spaces (Encyclopedia of Mathematics and its Applications, Series Number 120)

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