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Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs New Series)
SuperReal Fields Totally Ordered Fields with Additional Structure - London Mathematical Society Monographs New Series Author:H. Garth Dales, W. Hugh Woodin 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 m... more »any 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.« less