Local analysis for semi-bounded groups

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Local Analysis for Semi-bounded Groups

An o-minimal expansion M = 〈M, <, +, 0, . . . 〉 of an ordered group is called semi-bounded if it does not expand a real closed field. Possibly, it defines a real closed field with bounded domain I ⊆ M . Let us call a definable set short if it is in definable bijection with a definable subset of some In, and long otherwise. Previous work by Edmundo and Peterzil provided structure theorems for de...

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ژورنال

عنوان ژورنال: Fundamenta Mathematicae

سال: 2012

ISSN: 0016-2736,1730-6329

DOI: 10.4064/fm216-3-3