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4 papers
Hamel Spaces and Distal Expansions
Allen Gehret, Travis Nell
In this note, we construct a distal expansion for the structure , where is a dense -vector space basis of (a s…
Distal and non-Distal Behavior in Pairs
Travis Nell
The aim of this work is an analysis of distal and non-distal behavior in dense pairs of o-minimal structures. A characterization of distal types is given through orthogonality to a…
Wild theories with o-minimal open core
Philipp Hieronymi, Travis Nell, Erik Walsberg
Let be a consistent o-minimal theory extending the theory of densely ordered groups and let be a consistent theory. Then there is a complete theory extending suc…
Distal and Non-Distal Pairs
Philipp Hieronymi, Travis Nell
The aim of this note is to determine whether certain non-o-minimal expansions of o-minimal theories which are known to be NIP, are also distal. We observe that while tame pairs of…