Weakly o-minimal ordered fields have the exchange property but admit expansions without generic differentiability.
arXiv:2403.17478v2 [math.LO], March 2024
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes minimality equivalences for geometric field theories and shows supersimplicity or superrosiness of generic derivation expansions holds precisely when the derivations commute, with rank bounds via Kolchin polynomial.
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Weakly o-minimal fields have the exchange property but not generic differentiability
Weakly o-minimal ordered fields have the exchange property but admit expansions without generic differentiability.
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Geometric fields, ranks, and generic derivations
Establishes minimality equivalences for geometric field theories and shows supersimplicity or superrosiness of generic derivation expansions holds precisely when the derivations commute, with rank bounds via Kolchin polynomial.