28 citations · 117 across the 30 of their papers we have counts for
27 papers · 1 filter
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…
Weakly o-minimal fields have the exchange property but not generic differentiability
Will Johnson
We answer two open questions about weakly o-minimal fields posed by Macpherson, Marker, and Steinhorn: whether weakly o-minimal fields have the exchange property and whether they h…
One-dimensional subgroups and connected components in non-abelian -adic definable groups
Will Johnson, Ningyuan Yao
We generalize two of our previous results on abelian definable groups in -adically closed fields to the non-abelian case. First, we show that if is a definable group that is…
Curve-excluding fields
Will Johnson, Jinhe Ye
If is a curve over with genus at least and is empty, then the class of fields of characteristic 0 such that has a mode…
Dp-finite and Noetherian NIP integral domains
Will Johnson
We prove some results on NIP integral domains, especially those that are Noetherian or have finite dp-rank. If is an NIP Noetherian domain that is not a field, then is a se…
Around definable types in -adically closed fields
Pablo Andujar Guerrero, Will Johnson
We prove some technical results on definable types in -adically closed fields, with consequences for definable groups and definable topological spaces. First, the code of a defi…