Set Theory An Introduction To Independence Proofs (Paperback)
暫譯: 集合論:獨立性證明入門(平裝本)
Kenneth Kunen
- 出版商: North Holland
- 出版日期: 1983-12-01
- 售價: $4,320
- 貴賓價: 9.5 折 $4,104
- 語言: 英文
- 頁數: 330
- 裝訂: Hardcover
- ISBN: 0444868399
- ISBN-13: 9780444868398
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商品描述
Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is hoped that this treatment will make the subject accessible to those mathematicians whose research is sensitive to axiomatics. The readers should have had the equivalent of an undergraduate course on cardinals and ordinals, but no specific training in logic is necessary. The volume includes a discussion of modern techniques in forcing, as well as coverage of infinitary combinatorics and its relevance to independence proofs. The work also features a lucid treatment of basic facts about constructibility.
商品描述(中文翻譯)
許多抽象數學的分支受到現代集合論中獨立性證明的影響。本書提供了公理集合論中相對一致性證明的介紹,旨在作為該主題初級研究生課程的教材。希望這種處理方式能使那些對公理化敏感的數學家能夠接觸到這一主題。讀者應具備相當於本科生課程的基數和序數知識,但不需要特定的邏輯訓練。本書包括對現代強迫技術的討論,以及對無窮組合學及其與獨立性證明相關性的涵蓋。該著作還清晰地闡述了關於可構造性的基本事實。