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Super-Real Fields: Totally Ordered Fields with Additional Structure (Hardcover)

Author: Dales, H. Garth

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Product Overview

Super-fields are a class of totally ordered fields that 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 an important topic in their own right and have many surprising applications in analysis and logic. The authors introduce these exciting new fields to mathematicians, analysts, and logicians, including a natural generalization of the real line R, and resolve a number of open problems. After an
exposition of the general theory of ordered fields and a careful proof of some classic theorems, including Kapansky's embedding, they establish important new results in Banach algebra theory, non-standard analysis, and model theory.

Specifications

Publisher Oxford University Press
Mfg Part# 9780198539919
SKU 204961453
Format Hardcover
ISBN10 0198539916
Release Date 7/9/2007
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