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Super-Real Fields on Hardback by H Garth Dales
Super-Real Fields on Hardback by H Garth Dales
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Super-Real Fields

Totally Ordered Fields with Additional Structure
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Description

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.
Release date NZ
May 16th, 1996
Audience
  • Professional & Vocational
Illustrations
line figures
Pages
376
Dimensions
162x241x22
ISBN-13
9780198539919
Product ID
2499092

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