Erik Walsberg

activity

20132026

most citedTame Topology over Dp-minimal Structures

12 citations · 63 across the 29 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AG2021★ 3 cited

The étale open topology over the fraction field of a henselian local domain

Will Johnson, Erik Walsberg, Jinhe Ye

Suppose that $R$ is a local domain with fraction field $K$ . If $R$ is Henselian then the $R$ -adic topology over $K$ refines the étale open topology. If $R$ is regular then the étal…

math.AG2021

Topological proofs of results on large fields

Erik Walsberg

We use the recently introduced étale open topology to prove several facts about large fields. We show that these facts lift to a very general topological setting.

math.LO2021★ 5 cited

Éz fields

Erik Walsberg, Jinhe Ye

Let $K$ be a field. The étale open topology on the $K$ -points $V (K)$ of a $K$ -variety $V$ was introduced in our previous work. The étale open topology is non-discrete if and only i…

math.LO2021

Notes on trace equivalence

Erik Walsberg

We introduce trace definability, a weak notion of interpretability, and trace equivalence, a weak notion of equivalence for first order structures and theories. In particular we ge…