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  1.  8
    Tame Topology Over Dp-Minimal Structures.Pierre Simon & Erik Walsberg - 2019 - Notre Dame Journal of Formal Logic 60 (1):61-76.
    In this article, we develop tame topology over dp-minimal structures equipped with definable uniformities satisfying certain assumptions. Our assumptions are enough to ensure that definable sets are tame: there is a good notion of dimension on definable sets, definable functions are almost everywhere continuous, and definable sets are finite unions of graphs of definable continuous “multivalued functions.” This generalizes known statements about weakly o-minimal, C-minimal, and P-minimal theories.
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  2.  6
    Dp-Minimal Valued Fields.Franziska Jahnke, Pierre Simon & Erik Walsberg - 2017 - Journal of Symbolic Logic 82 (1):151-165.
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  3.  12
    Wild Theories with o-Minimal Open Core.Philipp Hieronymi, Travis Nell & Erik Walsberg - 2018 - Annals of Pure and Applied Logic 169 (2):146-163.
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  4.  3
    Interpolative Fusions.Alex Kruckman, Chieu-Minh Tran & Erik Walsberg - 2020 - Journal of Mathematical Logic 21 (2):2150010.
    We define the interpolative fusion T∪∗ of a family i∈I of first-order theories over a common reduct T∩, a notion that generalizes many examples of random or generic structures in the model-theo...
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    The Marker–Steinhorn Theorem Via Definable Linear Orders.Erik Walsberg - 2019 - Notre Dame Journal of Formal Logic 60 (4):701-706.
    We give a short proof of the Marker–Steinhorn theorem for o-minimal expansions of ordered groups. The key tool is Ramakrishnan’s classification of definable linear orders in such structures.
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  6.  3
    Metric Geometry in a Tame Setting.Erik Walsberg - 2018 - Bulletin of Symbolic Logic 24 (4):460-460.
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