Title
The geometry of Hrushovski constructions, I: The uncollapsed case
Abstract
An intermediate stage in Hrushovski’s construction of flat strongly minimal structures in a relational language L produces ω-stable structures of rank ω. We analyze the pregeometries given by forking on the regular type of rank ω in these structures. We show that varying L can affect the (local) isomorphism type of the pregeometry, but not its finite subpregeometries. A sequel will compare these to the pregeometries of the strongly minimal structures.
Year
DOI
Venue
2011
10.1016/j.apal.2011.01.008
Annals of Pure and Applied Logic
Keywords
Field
DocType
03C45
Discrete mathematics,Combinatorics,Strongly minimal theory,Isomorphism,Hrushovski construction,Geometry,Mathematics,Fork (software development)
Journal
Volume
Issue
ISSN
162
6
0168-0072
Citations 
PageRank 
References 
1
0.48
2
Authors
2
Name
Order
Citations
PageRank
David M. Evans1348.31
Marco S. Ferreira210.82