The Structure of the Real Line(Monografie Matematyczne)

数理逻辑与数学基础

原   价:
1105
售   价:
884.00
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平台大促 低至8折优惠
发货周期:预计8-10周发货
作      者
出  版 社
出版时间
2013年04月21日
装      帧
平装
ISBN
9783034803212
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页      码
542
开      本
9.00 x 6.10 x 1.30
语      种
英文
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图书简介
The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results.
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