Cook, Daniel2006-08-222006-08-2220002000http://hdl.handle.net/10012/1066Model 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.application/pdf490200 bytesapplication/pdfenCopyright: 2000, Cook, Daniel. All rights reserved.Mathematicsmodel theoryfieldsalgebraically closeddimensionMorley rankMaster Thesis