4 citations · 5 across the 10 of their papers we have counts for
5 papers · 2 filters
Topologically 1-based T-minimal Structures
Benjamin Castle, Assaf Hasson, Will Johnson
We prove group existence and structure theorems in a general setting of tame topological theories. More precisely, we identify a linear/non-linear dividing line -- called topologic…
Largeness and generalized t-henselianity
Will Johnson
Let be a countable field. Then is large in the sense of Pop if and only if it admits a field topology which is "generalized t-henselian" (gt-henselian) in the sense of Ditt…
Large implies henselian
Will Johnson, Chieu-Minh Tran, Erik Walsberg +1
Fix a field . We show that is large if and only if some elementary extension of is the fraction field of a henselian local domain which is not a field. The proof uses a…
Translating between NIP integral domains and topological fields
Will Johnson
We prove that definable ring topologies on NIP fields are closely connected to NIP integral domains. More precisely, we show that up to elementary equivalence, any NIP topological…
A note on one-variable theorems for NSOP
Will Johnson
We give an example of an SOP theory , such that any -formula with is NSOP. We show that any such must have the independence property. We also give a s…