7 citations · 10 across the 5 of their papers we have counts for
5 papers
Triangular Ramsey Numbers
Timothy Trujillo, Connor Mattes, Zachary Chaney +1
The purpose of this paper is to introduce the idea of triangular Ramsey numbers and provide values as well as upper and lower bounds for them. To do this, the combinatorial game Mi…
From abstract alpha-Ramsey theory to abstract ultra-Ramsey theory
Timothy Trujillo
We work within the framework of the Alpha-Theory introduced by Benci and Di Nasso. The Alpha-Theory postulates a few natural properties for an infinite "ideal" number . The form…
Ramsey for ultrafilter mappings and their Dedekind cuts
Timothy Trujillo
Associated to each ultrafilter on and each map is a Dedekind cut in the ultrapower . Blass has characterized, under CH, th…
Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of p-points
Natasha Dobrinen, Jose G. Mijares, Timothy Trujillo
A general method for constructing a new class of topological Ramsey spaces is presented. Members of such spaces are infinite sequences of products of Fraïssé classes of finite rela…
Selective but not Ramsey
Timothy Trujillo
We give a partial answer to the following question of Dobrinen: For a given topological Ramsey space , are the notions of selective for and Ramsey for $\…