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Set Theory : The Third Millennium Edition, revised and expanded / by Thomas Jech
(Springer Monographs in Mathematics. ISSN:21969922)
版 | 3rd ed. 2003. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2003 |
本文言語 | 英語 |
大きさ | XIV, 772 p : online resource |
著者標目 | *Jech, Thomas author SpringerLink (Online service) |
件 名 | LCSH:Mathematical logic LCSH:Machine theory FREE:Mathematical Logic and Foundations FREE:Formal Languages and Automata Theory |
一般注記 | Basic Set Theory -- Axioms of Set Theory -- Ordinal Numbers -- Cardinal Numbers -- Real Numbers -- The Axiom of Choice and Cardinal Arithmetic -- The Axiom of Regularity -- Filters, Ultrafilters and Boolean Algebras -- Stationary Sets -- Combinatorial Set Theory -- Measurable Cardinals -- Borel and Analytic Sets -- Models of Set Theory -- Advanced Set Theory -- Constructible Sets -- Forcing -- Applications of Forcing -- Iterated Forcing and Martin’s Axiom -- Large Cardinals -- Large Cardinals and L -- Iterated Ultrapowers and L[U] -- Very Large Cardinals -- Large Cardinals and Forcing -- Saturated Ideals -- The Nonstationary Ideal -- The Singular Cardinal Problem -- Descriptive Set Theory -- The Real Line -- Selected Topics -- Combinatorial Principles in L -- More Applications of Forcing -- More Combinatorial Set Theory -- Complete Boolean Algebras -- Proper Forcing -- More Descriptive Set Theory -- Determinacy -- Supercompact Cardinals and the Real Line -- Inner Models for Large Cardinals -- Forcing and Large Cardinals -- Martin’s Maximum -- More on Stationary Sets Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference HTTP:URL=https://doi.org/10.1007/3-540-44761-X |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540447610 |
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EB00234432 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA8.9-10.3 DC23:511.3 |
書誌ID | 4000109111 |
ISBN | 9783540447610 |
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※2017年9月4日以降