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Super-Real Fields: Totally Ordered Fields with Additional Structure PDF

376 Pages·1996·6.36 MB·English
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Preview Super-Real Fields: Totally Ordered Fields with Additional Structure

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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
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