1 citations · 1 across the 6 of their papers we have counts for
6 papers
Building trees in large fields
Elliot Kaplan, Angus Matthews, Erik Walsberg
We show that large rosy fields are bounded, and substantially simplify the proofs that large stable fields are separably closed and that large simple fields are bounded. Our proofs…
Geometric fields, ranks, and generic derivations
Antongiulio Fornasiero, Elliot Kaplan, Angus Matthews
In this note, we show various minimality results for a geometric theory of fields : is stable if and only if it is strongly minimal, is simple if and only if it has SU-r…
Decomposing the automorphism group of the surreal numbers
Elliot Kaplan, Lothar Sebastian Krapp, Michele Serra
We study the automorphism group of the field of surreal numbers. Our main structure theorem presents a decomposition of this group into a product of five significant factors. Using…
Generic derivations, differential largeness, and NTP
Elliot Kaplan, Christoph Kesting
We compare Fornasiero and Terzo's framework of generic derivations on algebraically bounded structures with León Sánchez and Tressl's differentially large fields. We show in the ca…
Constant power maps on Hardy fields and transseries
Elliot Kaplan
Let be the differential field of logarithmic-exponential transseries. We consider the expansion of by the binary map that sends a positive transseries …
A dichotomy for -convex fields with a monomial group
Elliot Kaplan, Christoph Kesting
We prove a dichotomy for o-minimal fields , expanded by a -convex valuation ring (where is the theory of ) and a compatible monomial group. We show…