| 书目名称 | Combinatorial Set Theory |
| 副标题 | With a Gentle Introd |
| 编辑 | Lorenz J. Halbeisen |
| 视频video | http://file.papertrans.cn/231/230015/230015.mp4 |
| 概述 | Provides a comprehensive introduction to the sophisticated technique of forcing.Includes Shelah’s astonishing construction of a model in which exactly 27 Ramsey ultrafilters exist.Offers topics and op |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory..Following an overview of basic notions in combinatorics and first-order logic, the author outlines the main topics of classical set theory in the second part, including Ramsey theory and the axiom of choice. The revised edition contains new permutation models and recent results in set theory without the axiom of choice. The third part explains the sophisticated technique of forcing in great detail, now including a separate chapter on Suslin’s problem. The technique is used to show that certain statements are neither provable nor disprovable from the axioms of set theory. In the final part, some topics of classical set theory are revisited and further developed in light of forcing, with new chapters on Sacks Forcing and Shelah’s astonishing construction of a model with finitely many Ramsey ultrafilters..Written for graduate students in axiomatic set theory, .Combinatorial Set Theory. will appeal to all researchers interested in the foundations of mathematics. With extensive reference lists and historical remarks at the end of each chapter, this book is su |
| 出版日期 | Book 2017Latest edition |
| 关键词 | axiom of choice; Banach-Tarski paradox; cardinal characteristics; combinatorics of forcing; forcing cons |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-319-60231-8 |
| isbn_softcover | 978-3-319-86812-7 |
| isbn_ebook | 978-3-319-60231-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer International Publishing AG 2017 |
|Archiver|手机版|小黑屋|
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