Showing 2025Show all
2 papers · 1 filter
math.LO2025
Coordinate recognition: General theory, Groups, and other surprises
I. Farah, K. Gannon, P. Touchard
A class of structures \emph{recognizes coordinates} if any reduced product of structures from said class witnesses a certain kind of rigidity phenomenon. We provide several equival…
math.LO2025
Growing Spines Ad Infinitum
Blaise Boissonneau, Anna De Mase, Franziska Jahnke +1
We show that every non-trivial ordered abelian group is augmentable by infinite elements, i.e., we have for some non-trivial ordered abelian group …