| 書目名稱 | Set Theory |
| 副標題 | Exploring Independen |
| 編輯 | Ralf Schindler |
| 視頻video | http://file.papertrans.cn/866/865768/865768.mp4 |
| 概述 | Provides a fairly self-contained introduction to set theory, in particular to the theory of inner models and forcing.Presents essential aspects of set theory which are required in understanding modern |
| 叢書名稱 | Universitext |
| 圖書封面 |  |
| 描述 | .This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory..The following topics are covered:.? Forcing and constructability.? The Solovay-Shelah Theorem i.e. the equiconsistency of ‘every set of reals is Lebesgue measurable’ with one inaccessible cardinal.? Fine structure theory and a modern approach to sharps.? Jensen’s Covering Lemma.? The equivalence of analytic determinacy with sharps.? The theory of extenders and iteration trees.? A proof of projective determinacy from Woodin cardinals..Set Theory. requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.. |
| 出版日期 | Textbook 2014 |
| 關鍵詞 | Constructibility; Extenders; Fine Structure Theory; Forcing; Iteration Trees; Jensen’s Covering Lemma; Lar |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-06725-4 |
| isbn_softcover | 978-3-319-06724-7 |
| isbn_ebook | 978-3-319-06725-4Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer International Publishing Switzerland 2014 |
|Archiver|手機版|小黑屋|
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