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Handbook of Set Theory / edited by Matthew Foreman, Akihiro Kanamori
版 | 1st ed. 2010. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 2010 |
本文言語 | 英語 |
大きさ | XIV, 2230 p : online resource |
著者標目 | Foreman, Matthew editor Kanamori, Akihiro editor SpringerLink (Online service) |
件 名 | LCSH:Discrete mathematics LCSH:Mathematical logic LCSH:Logic LCSH:Science -- Philosophy 全ての件名で検索 FREE:Discrete Mathematics FREE:Mathematical Logic and Foundations FREE:Logic FREE:Philosophy of Science |
一般注記 | Stationary Sets -- Partition Relations -- Coherent Sequences -- Borel Equivalence Relations -- Proper Forcing -- Combinatorial Cardinal Characteristics of the Continuum -- Invariants of Measure and Category -- Constructibility and Class Forcing -- Fine Structure -- ? Fine Structure -- Elementary Embeddings and Algebra -- Iterated Forcing and Elementary Embeddings -- Ideals and Generic Elementary Embeddings -- Cardinal Arithmetic -- Successors of Singular Cardinals -- Prikry-Type Forcings -- Beginning Inner Model Theory -- The Covering Lemma -- An Outline of Inner Model Theory -- A Core Model Toolbox and Guide -- Structural Consequences of AD -- Determinacy in (?) -- Large Cardinals from Determinacy -- Forcing over Models of Determinacy This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, self-contained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and far-reaching field with its own self-fueling initiatives HTTP:URL=https://doi.org/10.1007/978-1-4020-5764-9 |
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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 | 9781402057649 |
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EB00236645 |
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