Submission date: 18 March 2010.

Abstract:

We study various notions of “tameness” for definably complete expansions of ordered fields. We mainly study structures with locally o-minimal open core, d-minimal structures, and dense pairs of d-minimal structures.

Mathematics Subject Classification: Primary 03C64; Secondary 12J15

Keywords and phrases: o-minimal, open core, ordered field, definably complete, Baire, tame, dense pair, d-minimal, locally o-minimal.

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