11 citations · 14 across the 6 of their papers we have counts for
7 papers
Residue field domination in some henselian valued fields
Clifton Ealy, Deirdre Haskell, Pierre Simon
We generalize previous results about stable domination and residue field domination to henselian valued fields of equicharacteristic 0 with bounded Galois group, and we provide an…
Quantifier elimination for o-minimal structures expanded by a valuational cut
Clifton Ealy, Jana Maříková
Let be an o-minimal expansion of a group in a language in which eliminates quantifiers, and let be a predicate for a valuational cut in . We identify a…
Residue field domination in real closed valued fields
Clifton Ealy, Deirdre Haskell, Jana Maříková
We define a notion of residue field domination for valued fields which generalizes stable domination in algebraically closed valued fields. We prove that a real closed valued field…
Model completeness of o-minimal fields with convex valuations
Clifton Ealy, Jana Maříková
We let R be an o-minimal expansion of a field, V a convex subring, and an elementary substructure of (R,V). We let L be the language consisting of a language for R,…
Thorn-Forking in Continuous Logic
Clifton Ealy, Isaac Goldbring
We study thorn forking and rosiness in the context of continuous logic. We prove that the Urysohn sphere is rosy (with respect to finitary imaginaries), providing the first example…
Thorn independence in the field of real numbers with a small multiplicative group
Alexander Berenstein, Clifton Ealy, Ayhan Günaydin
We characterize thorn-independence in a variety of structures, focusing on the field of real numbers expanded by predicate defining a dense multiplicative subgroup, G, satisfying t…