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Super-Real Fields

By Dales, H. Garth

Super-Real Fields

By Dales, H. Garth

0 - Default Title
Description
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.
Product details
Edition:
1
Number of Pages:
376
Release Date:
1996-08-01
Publication Date:
1996-05-16
Publisher:
OUP Oxford
Languages:
Original: English
ISBN10:
0198539916
ISBN13:
9780198539919
GPSR Manufacturer Reference:
[email protected]
Weight:
728 g
Height:
161 cm
Width:
240 cm
Thickness:
25 cm
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