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Könyv Super-Real Fields H. G. Dales

Super-Real Fields

Totally Ordered Fields with Additional Structure

Szerző: H. G. Dales, W.H. Woodin
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Oxford University Press
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
44 416 Ft
Super-real fields are a class of large totally ordered fields. These fields are larger than the real...

Információk a könyvről

Szerző
H. G. Dales, W.H. Woodin
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1996
oldal
376
EAN
9780198539919
ISBN
0198539916
Enbook ID
04527551
Kiadó
Oxford University Press
Súly
690
Méretek
166 x 244 x 28

Teljes leírás

Super-real fields are a class of large totally ordered fields. These fields are larger than the real line. They arise from quotients of the algebra of continuous functions on a compact space by a prime ideal, and generalize the well-known class of ultrapowers, and indeed the continuous ultrapowers. These fields are of interest in their own right and have many surprising applications, both in analysis and logic. The authors introduce some exciting new fields, including a natural generalization of the real line R, and resolve a number of open problems. The book is intended to be accessible to analysts and logicians. After an exposition of the general theory of ordered fields and a careful proof of some classic theorems, including Kaplansky's embedding theorems , the authors establish important new results in Banach algebra theory, non-standard analysis, an model theory.

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