1 citations · 1 across the 5 of their papers we have counts for
8 papers · 1 filter
Finding suitably generic points on curves with an application to the construction of rigid real closed fields
Dragos Ghioca, David Marker, Charles Steinhorn
Let be an algebraically closed field of characteristic 0 and transcendence degree at least 2. Let be an irreducible curve defined over but not defined over t…
Rigid Differentially Closed Fields
David Marker
Using ideas from geometric stability theory we construct differentially closed fields with no non-trivial automorphisms.
Anti-classification results for groups acting freely on the line
Filippo Calderoni, David Marker, Luca Motto Ros +1
We explore countable ordered Archimedean groups from the point of view of descriptive set theory. We introduce the space of Archimedean left-orderings for a given…
Scattered Sentences have Few Separable Randomizations
Uri Andrews, Isaac Goldbring, Sherwood Hachtman +2
In the paper "Randomizations of Scattered Sentences", Keisler showed that if Martin's axiom for aleph one holds, then every scattered sentence has few separable randomizations, and…
Representing Scott sets in algebraic settings
Alf Dolich, Julia Knight, Karen Lange +1
We prove that for every Scott set there are -saturated real closed fields and models of Presburger arithmetic.
Turing degree spectra of differentially closed fields
David Marker, Russell Miller
The degree spectrum of a countable structure is the set of all Turing degrees of presentations of that structure. We show that every nonlow Turing degree lies in the spectrum of so…