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JSYML
2010

A monotonicity theorem for dp-minimal densely ordered groups

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A monotonicity theorem for dp-minimal densely ordered groups
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 inpminimality and prove that in an inp-minimal densely ordered group, every denable unary function is a union of nitely many continuous locally monotonic functions (Theorem 3.2).
John Goodrick
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where JSYML
Authors John Goodrick
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