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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Super-Real Fields: Totally Ordered Fields with Additional Structure

Super-Real Fields: Totally Ordered Fields with Additional Structure

Dales, H. Garth
Woodin, W. Hugh

Hardcover

Series: London Mathematical Society Monographs, Book 14

FictionAlgebraGeneral Mathematics

ISBN10: 0198539916
ISBN13: 9780198539919
Publisher: Clarendon Press
Published: Aug 1 1996
Pages: 376
Weight: 1.56
Height: 0.97 Width: 6.38 Depth: 9.50
Language: English
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.

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