12 citations · 63 across the 29 of their papers we have counts for
Showing 2015 · math.LOShow all
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math.LO2015★ 4 cited
On the Topology of Metric Spaces definable in o-minimal expansions of fields
Erik Walsberg
We study the topology of metric spaces which are definable in o-minimal expansions of ordered fields. We show that a definable metric space either contains an infinite definable di…
math.LO2015★ 12 cited
Tame Topology over Dp-minimal Structures
Pierre Simon, Erik Walsberg
We develop tame topology over dp-minimal structures equipped with definable uniformities satisfying certain assumptions. Our assumptions are enough to ensure that definable sets ar…
math.LO2015
Dp-minimal valued fields
Franziska Jahnke, Pierre Simon, Erik Walsberg
We show that dp-minimal valued fields are henselian and that a dp-minimal field admitting a definable type V topology is either real closed, algebraically closed or admits a non-tr…