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 2017Show all

3 papers · 1 filter

math.LO2017★ 2 cited

A family of dp-minimal expansions of $(Z; +)$

Minh Chieu Tran, Erik Walsberg

We show that the cyclically ordered-abelian groups expanding $(Z; +)$ contain a continuum-size family of dp-minimal structures such that no two members define the same subs…

math.LO2017

A tetrachotomy for expansions of the real ordered additive group

Philipp Hieronymi, Erik Walsberg

Let $R$ be an expansion of the ordered real additive group. When $R$ is o-minimal, it is known that either $R$ defines an ordered field isomorphic to…

math.LO2017

Wild theories with o-minimal open core

Philipp Hieronymi, Travis Nell, Erik Walsberg

Let $T$ be a consistent o-minimal theory extending the theory of densely ordered groups and let $T^{'}$ be a consistent theory. Then there is a complete theory $T^{*}$ extending $T$ suc…

A family of dp-minimal expansions of (Z;+)

A tetrachotomy for expansions of the real ordered additive group

Wild theories with o-minimal open core

A family of dp-minimal expansions of $(Z; +)$