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Absolute Measurable Spaces.

Nishiura, Togo

Verlag: Cambridge University Press, Cambridge University Press, 2008
ISBN 10: 0521875560 / ISBN 13: 9780521875561
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Titel: Absolute Measurable Spaces.

Verlag: Cambridge University Press, Cambridge University Press

Erscheinungsdatum: 2008

Einband: Hardcover

Zustand: As New

Zustand des Schutzumschlags: Dust Jacket Included

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xii 274p hardback with red dustjacket, white lettering to spine, excellent copy, like new, this title was published in the series Encyclopaedia of Mathematics and its Applications. Buchnummer des Verkäufers PAB 168834

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Inhaltsangabe: 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.

Rezension: '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

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