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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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
