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Více informací o knize Cardinal Arithmetic

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Mathematical foundations

• Plný název: Cardinal Arithmetic
• Autor: Saharon Shelah
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 512
• EAN: 9780198537854
• ISBN: 0198537859
• ID: 04527507
• Nakladatelství: Oxford University Press
• Hmotnost: 783 g
• Rozměry: 242 × 160 × 32 mm
• Datum vydání: 17. November 1994

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