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math.LO2026
On differentiability in weakly o-minimal expansions of fields
Juan Pablo Acosta, Yatir Halevi, Assaf Hasson +2
We show that every definable function in a weakly o-minimal expansion of a field is generically differentiable, where the derivative takes values in the Cauchy completion of $K…
math.LO2026
A note on uniform finiteness in weakly o-minimal theories
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
For an -saturated weakly o-minimal expansion of an ordered group , it is shown that has uniform finiteness if and only if the colle…