Absolute Measurable Spaces (Encyclopedia of Mathematics and by Togo Nishiura PDF

By Togo Nishiura

ISBN-10: 0521875560

ISBN-13: 9780521875561

Absolute measurable area and absolute null house are very previous topological notions, built from recognized proof of descriptive set idea, topology, Borel degree idea and research. This monograph systematically develops and returns to the topological and geometrical origins of those notions. Motivating the advance of the exposition are the motion of the gang of homeomorphisms of an area on Borel measures, the Oxtoby-Ulam theorem on Lebesgue-like measures at the unit dice, and the extensions of this theorem to many different topological areas. lifestyles of uncountable absolute null house, extension of the Purves theorem and up to date advances on homeomorphic Borel chance measures at the Cantor house, are one of many themes mentioned. A short dialogue of set-theoretic effects on absolute null house is given, and a four-part appendix aids the reader with topological measurement concept, Hausdorff degree and Hausdorff size, and geometric degree theory.

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