A weakly o-minimal structure without infinite groups has a Shelah completion that interprets an infinite field, with a new local trace definability notion and a linearity-field dichotomy for certain ordered groups.
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Trace definability II: model-theoretic linearity
A weakly o-minimal structure without infinite groups has a Shelah completion that interprets an infinite field, with a new local trace definability notion and a linearity-field dichotomy for certain ordered groups.