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Cardinal Arithmetic

Language EnglishEnglish
Book Hardback
Book Cardinal Arithmetic Saharon Shelah
Libristo code: 04527507
Publishers Oxford University Press, November 1994
Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmeti... Full description
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Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (really exponentiation since addition and multiplication were classically solved), it was thought to be essentially solved by the independence results of Godel and Cohen (and Easton) with some isolated positive results (like Galvin-Hajnal). It was expected that only more independence results remained to be proved. The author has come to change his view: we should stress *P]*N0 (not 2]*P) and mainly look at the cofinalities rather than cardinalities, in particular pp ( ), pcf (*a). Their properties are investigated here and conventional cardinal arithmetic is reduced to 2]*N (*N - regular, cases totally independent) and various cofinalities. This enables us to get new results for the conventional cardinal arithmetic, thus supporting the interest in our view. We also find other applications, extend older methods of using normal fiters and prove the existence of Jonsson algebra.

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About the book

Full name Cardinal Arithmetic
Language English
Binding Book - Hardback
Date of issue 1994
Number of pages 512
EAN 9780198537854
ISBN 0198537859
Libristo code 04527507
Weight 783
Dimensions 160 x 242 x 32
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