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.
Tame structures and open cores
1 Pith paper cite this work. Polarity classification is still indexing.
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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.
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math.LO 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Pseudo-finite sets, pseudo-o-minimality
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.