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Cardinal Arithmetic

By Saharon Shelah

Cardinal Arithmetic

By Saharon Shelah

0 - Default Title
Description
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 Godel, 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.
Product details
Edition:
1
Number of Pages:
516
Release Date:
1994-12-29
Publication Date:
1994-11-17
Publisher:
OUP Oxford
Languages:
Original: English
ISBN10:
0198537859
ISBN13:
9780198537854
GPSR Manufacturer Reference:
[email protected]
Weight:
933 g
Height:
161 cm
Width:
240 cm
Thickness:
32 cm
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