測度與範疇學

圖書信息

出版社: ;

外文書名: Measure and Category (2nd Edition)

:

正文府槓語種凳您危: 英語

開本: 24

ISBN: 751000439X, 9787510004391

條踏匙芝霉形碼: 9787510004391

尺寸: 21.6 x 14.6 x 0.6 cm

重量歸墊蘭凝: 159 g

作者簡介

作者殃獄酷：(美國) 奧凱斯屠拜 (Oxtoby.J.C.)

內容簡介

《捉糊再測度與範疇學(第2版)》講述了：This book has two main themes: the Baire category theorem as a method for proving existence, and the "duality"凳拳灶 between measure and category. The category method is illustrated by a variety of typical applications, and the analogy between measure and category is explored in all of its ramifications. To this end, the elements of metric topology are reviewed and the principal properties of Lebesgue measure are derived. It turns out that Lebesgue integration is not essential for present purposes——the Riemann integral is sufficient. Concepts of general measure theory and topology are introduced, but not just for the sake of generality. Needless to say, the term "category" refers always to Baire category; it has nothing to do with the term as it is used in homological algebra

測度與範疇學

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