W. Johnson

collaborators

8 papers

math.FA2026

Uniform Property (S)

William B. Johnson, Tomasz Kania

We introduce and investigate a quantitative version of Steinhaus' property $(S)$ for Banach spaces, called the \emph{uniform property $(S)$ }. A Banach space $X$ is said to have unifor…

math.LO2026

Visceral theories without assumptions

Will Johnson

Let $T$ be a theory with a definable topology. $T$ is t-minimal in the sense of Mathews if every definable set in one variable has finite boundary. If $T$ is t-minimal, we show tha…

math.LO2026

Generic differentiability and $P$ -minimal groups

Will Johnson

We prove generic differentiability in $P$ -minimal theories, strengthening an earlier result of Kuijpers and Leenknegt. Using this, we prove Onshuus and Pillay's $P$ -minimal analogu…

math.LO2026

Large implies henselian

Will Johnson, Chieu-Minh Tran, Erik Walsberg +1

Fix a field $K$ . We show that $K$ is large if and only if some elementary extension of $K$ is the fraction field of a henselian local domain which is not a field. The proof uses a…

math.LO2025

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…

math.LO2025

Largeness and generalized t-henselianity

Will Johnson

Let $K$ be a countable field. Then $K$ 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…

Uniform Property (S)

Visceral theories without assumptions

Generic differentiability and P-minimal groups

Large implies henselian

Topologically 1-based T-minimal Structures

Largeness and generalized t-henselianity

Generic differentiability and $P$ -minimal groups