4 citations · 5 across the 10 of their papers we have counts for
4 papers · 2 filters
The classification of dp-minimal integral domains
Christian d'Elbée, Yatir Halevi, Will Johnson
We classify dp-minimal integral domains, building off the existing classification of dp-minimal fields and dp-minimal valuation rings. We show that if R is a dp-minimal integral do…
Generic differentiability and -minimal groups
Will Johnson
We prove generic differentiability in -minimal theories, strengthening an earlier result of Kuijpers and Leenknegt. Using this, we prove Onshuus and Pillay's -minimal analogu…
Visceral theories without assumptions
Will Johnson
Let be a theory with a definable topology. is t-minimal in the sense of Mathews if every definable set in one variable has finite boundary. If is t-minimal, we show tha…
C-minimal fields have the exchange property
Will Johnson
We show that C-minimal fields (i.e., C-minimal expansions of ACVF) have the exchange property, answering a question of Haskell and Macpherson. Additionally, we strengthen some theo…