Erik Walsberg

activity

20152022

most citedAn NIP structure which does not interpret an infinite group but whose Shelah expansion interprets an infinite field

3 citations · 9 across the 8 of their papers we have counts for

collaborators

14 papers

math.LO2022★ 1 cited

Interpolative fusions II: Preservation results

Alex Kruckman, Minh Chieu Tran, Erik Walsberg

We study interpolative fusion, a method of combining theories $T_{1}$ and $T_{2}$ in distinct languages in a "generic" way over a common reduct $T_{\cap}$ , to obtain a theory $T_{\cup}^{*}$ .…

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.LO2020

A P-adic structure which does not interpret an infinite field but whose Shelah completion does

Erik Walsberg

We give a $p$ -adic example of a structure whose Shelah completion interprets $Q_{p}$ but which does not (provided an extremely plausible conjecture holds) interpret an infin…

math.LO2020

Nippy proofs of p-adic results of Delon and Yao

Erik Walsberg

Let $K$ be an elementary extension of $Q_{p}$ , $V$ be the set of finite $a \in K$ , $st$ be the standard part map $K^{m} \to Q_{p}^{m}$ , and $X \subseteq K^{m}$ be…

math.LO2020★ 1 cited

Dp-minimal expansions of $(Z, +)$ via dense pairs via Mordell-Lang

Erik Walsberg

This is a contribution to the classification problem for dp-minimal expansions of $(Z, +)$ . Let $S$ be a dense cyclic group order on $(Z, +)$ . We use results on "de…

math.LO2020★ 2 cited

Generalizing a theorem of Bès and Choffrut

Erik Walsberg

Bès and Choffrut recently showed that there are no intermediate structures between $(R, <, +)$ and $(R, <, +, Z)$ . We prove a generalization: if $R$ …

Interpolative fusions II: Preservation results

Topological proofs of results on large fields

A P-adic structure which does not interpret an infinite field but whose Shelah completion does

Nippy proofs of p-adic results of Delon and Yao

Dp-minimal expansions of (Z,+) via dense pairs via Mordell-Lang

Generalizing a theorem of Bès and Choffrut

Dp-minimal expansions of $(Z, +)$ via dense pairs via Mordell-Lang