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The Model Theory of Algebraically Closed Fields

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dwpcook2000.pdf (478.71 KB)

Date

2000

Authors

Cook, Daniel

Journal Title

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Volume Title

Publisher

University of Waterloo

Abstract

Model theory can express properties of algebraic subsets of complex n-space. The constructible subsets are precisely the first order definable subsets, and varieties correspond to maximal consistent collections of formulas, called types. Moreover, the topological dimension of a constructible set is equal to the Morley rank of the formula which defines it.

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Keywords

Mathematics, model theory, fields, algebraically closed, dimension, Morley rank

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Citation

URI

http://hdl.handle.net/10012/1066

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Pure Mathematics