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.
Fuchs.Abelian groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.LO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.