Paper Info
Title
A monotonicity theorem for dp-minimal densely ordered groups
Abstract
Dp-minimality is a common generalization of weak minimality and weak o-minimality. If T is a weakly o-minimal theory then it is dp-minimal (Fact 2.2), but there are dp-minimal densely ordered groups that are not weakly o-minimal. We introduce the even more general notion of inp-minimality and prove that in an inp-minimal densely ordered group, every definable unary function is a union of finitely many continuous locally monotonic functions (Theorem 3.2).
Year
DOI
Venue
2010
10.2178/jsl/1264433917
JOURNAL OF SYMBOLIC LOGIC
DocType
Volume
Issue
Journal
75
1
ISSN
Citations 
PageRank 
0022-4812
7
1.60
References 
Authors
1
1
Name
Order
Citations
PageRank
John Goodrick1267.57