ENGLISH

Cardinal Arithmetic

By Saharon Shelah

Book information

Publisher
Oxford University Press, USA
Year
1994
ISBN
0198537859, 9780198537854
Language
english
Format
DJVU
Filesize
5 MB (4920174 bytes)
Series
Oxford Logic Guides 29
Pages
511\511
Topic
Mathematics Logic
Time added
2009-08-06 05:14:26

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.

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