Main Cardinal Arithmetic

Cardinal Arithmetic

4.0 / 5.0
0 comments
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.
Request Code : ZLIBIO112779
Categories:
Year:
1994
Publisher:
Oxford University Press, USA
Language:
English
Pages:
511
ISBN 10:
0198537859
ISBN 13:
9780198537854
ISBN:
0198537859,9780198537854
Series:
Oxford Logic Guides 29

Comments of this book

There are no comments yet.