## Vaught's Conjecture for Superstable Theories of Finite Rank (1993)

by
Steven Buechler

Citations: | 4 - 2 self |

### BibTeX

@MISC{Buechler93vaught'sconjecture,

author = {Steven Buechler},

title = {Vaught's Conjecture for Superstable Theories of Finite Rank},

year = {1993}

}

### OpenURL

### Abstract

In this paper we prove Vaught's conjecture for superstable theories in which each complete type has finite U \Gamma rank. The general idea is to associate with the theory an V \Gamma definable group G (called the structure group) which controls the isomorphism types of the models.