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Tame structures and open cores

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arxiv 1003.3557 v1 pith:BHS4YWT5 submitted 2010-03-18 math.LO

Antongiulio Fornasiero This is my paper · ORCID
classification math.LO
keywords structuresd-minimalopencompletecorecoresdefinablydense
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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.

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  1. Pseudo-finite sets, pseudo-o-minimality

    math.LO 2019-08 conditional novelty 8.0 of 10

    Two structures with identical one-variable definable sets can differ in pseudo-o-minimality, refuting an axiomatization by one-variable conditions and a pigeonhole principle conjecture.

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