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

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13 papers · 1 filter

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.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 $R$ …

math.LO2019★ 3 cited

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

Erik Walsberg

We describe one.

Interpolative fusions II: Preservation results

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

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

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