Proper and Improper Forcing
Proper and Improper Forcing
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DOI：
10.1007/978-3-662-12831-2
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
S. Shelah
中科院分区：
文献类型：
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作者：
S. Shelah
自创刊以来，《逻辑透视》和《逻辑讲稿》系列已经出版了顶尖逻辑学家的开创性著作。该系列中的许多原著已经多年无法购买，但现在又开始印刷了。这本书是《逻辑透视》系列的第五本出版物，研究了集合论独立性的结果(独立于通常的集合论ZFC公理)，特别是关于连续体上的问题。作者从一开始就避开了元数学的考虑，完整地介绍了适当强迫及其相关理论。不需要关于强迫的先验知识。这本书将使对适当类型的独立结果感兴趣的研究人员能够为他们完成大部分工作，从而允许他们引用一般结果。
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the fifth publication in the Perspectives in Logic series, studies set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. No prior knowledge of forcing is required. The book will enable a researcher interested in an independence result of the appropriate kind to have much of the work done for them, thereby allowing them to quote general results.