Title
STRONG DENSITY OF DEFINABLE TYPES AND CLOSED ORDERED DIFFERENTIAL FIELDS
Abstract
The following strong form of density of definable types is introduced for theories T admitting a fibered dimension function d: given a model M of T and a definable set X subset of M-n, there is a definable type p in X, definable over a code for X and of the same d-dimension as X. Both o-minimal theories and the theory of closed ordered differential fields (CODF) are shown to have this property. As an application, we derive a new proof of elimination of imaginaries for CODF.
Year
DOI
Venue
2019
10.1017/jsl.2018.88
JOURNAL OF SYMBOLIC LOGIC
Keywords
Field
DocType
ordered differential fields,density of definable types,closed ordered differential fields
Differential algebra,Pure mathematics,Physics
Journal
Volume
Issue
ISSN
84
3
0022-4812
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Quentin Brouette121.40
Pablo Cubides Kovacsics232.87
Françoise Point32110.04