Cardinal Arithmetic
Shelah, Saharon
- 出版商: OUP Oxford
- 出版日期: 1994-12-29
- 售價: $13,550
- 貴賓價: 9.5 折 $12,873
- 語言: 英文
- 頁數: 520
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0198537859
- ISBN-13: 9780198537854
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相關分類:
離散數學 Discrete-mathematics
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相關主題
商品描述
Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (or exponentiation, since addition and multiplication were classically solved), the hypothesis would be solved by the independence results of Gödel, Cohen, and Easton, with some isolated
positive results (like Gavin-Hajnal). Most mathematicians expect that only more independence results remain to be proved. In Cardinal Arithmetic, however, Saharon Shelah offers an alternative view. By redefining the hypothesis, he gets new results for the conventional cardinal arithmetic, finds
new applications, extends older methods using normal filters, and proves the existence of Jonsson algebra. Researchers in set theory and related areas of mathematical logic will want to read this provocative new approach to an important topic.
positive results (like Gavin-Hajnal). Most mathematicians expect that only more independence results remain to be proved. In Cardinal Arithmetic, however, Saharon Shelah offers an alternative view. By redefining the hypothesis, he gets new results for the conventional cardinal arithmetic, finds
new applications, extends older methods using normal filters, and proves the existence of Jonsson algebra. Researchers in set theory and related areas of mathematical logic will want to read this provocative new approach to an important topic.
