The Model Theory of Algebraically Closed Fields

by Cook, Daniel

Abstract (Summary)
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.
Bibliographical Information:


School:University of Waterloo

School Location:Canada - Ontario

Source Type:Master's Thesis

Keywords:mathematics model theory fields algebraically closed dimension morley rank


Date of Publication:01/01/2000

© 2009 All Rights Reserved.