Cardinal arithmetic
Saharon Shelah
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.
Kategori:
Tahun:
1994
Penerbit:
Clarendon Press; Oxford University Press
Bahasa:
english
Halaman:
511
ISBN 10:
0198537859
ISBN 13:
9780198537854
Nama seri:
Oxford logic guides 29
File:
DJVU, 3.48 MB
IPFS:
,
english, 1994
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