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Super-Real Fields : Totally Ordered Fields With Additional Structure, Hardcov...

Description: Super-Real Fields : Totally Ordered Fields With Additional Structure, Hardcover by Dales, H. G.; Woodin, W. H., ISBN 0198539916, ISBN-13 9780198539919, Brand New, Free shipping in the US 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 Kapanskys embedding, they establish important new results in Banach algebra theory, non-standard analysis, and model theory.

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Super-Real Fields : Totally Ordered Fields With Additional Structure, Hardcov...

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Book Title: Super-Real Fields : Totally Ordered Fields With Additional Struct

Number of Pages: 376 Pages

Publication Name: Super-Real Fields : Totally Ordered Fields with Additional Structure

Language: English

Publisher: Oxford University Press, Incorporated

Publication Year: 1996

Subject: Algebra / Abstract, Algebra / General

Item Height: 0.9 in

Item Weight: 24.1 Oz

Type: Textbook

Item Length: 9.2 in

Subject Area: Mathematics

Author: W. Hugh Woodin, H. Garth Dales

Item Width: 6.1 in

Series: London Mathematical Society Monographs

Format: Hardcover

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