| 书目名称 | Set Theory |
| 副标题 | Exploring Independen |
| 编辑 | Ralf Schindler |
| 视频video | |
| 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 |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
发表于 2025-3-21 18:36:31
