2 papers
math.LO2025
The barrier Ramsey theorem
Alberto Marcone, Antonio Montalbán, Andrea Volpi
In this paper we study a very general finite Ramsey theorem, where both the sets being colored and the homogeneous set must satisfy some largeness notion. For the homogeneous set t…
math.LO2022
The -Vaught's Conjecture
David Gonzalez, Antonio Montalbán
We introduce the -Vaught's conjecture, a strengthening of the infinitary Vaught's conjecture. We believe that if one were to prove the infinitary Vaught's conjecture in a struct…