16 citations · 60 across the 30 of their papers we have counts for
6 papers · 1 filter
Rainbow Ramsey simple structures
Natasha Dobrinen, Claude Laflamme, Norbert Sauer
A relational structure is {\em rainbow Ramsey} if for every finite induced substructure of and every colouring of the copies of …
Topological Ramsey spaces and metrically Baire sets
Natasha Dobrinen, Jose G. Mijares
We characterize a class of topological Ramsey spaces such that each element of the class induces a collection of projected spaces which have t…
High dimensional Ellentuck spaces and initial chains in the Tukey structure of non-p-points
Natasha Dobrinen
The generic ultrafilter forced by FinFin) was recently proved to be neither maximum nor minimum in the Tukey order of ultrafilters…
Spectra of Tukey types of ultrafilters on Boolean algebras
Jennifer A. Brown, Natasha Dobrinen
Extending recent investigations on the structure of Tukey types of ultrafilters on to Boolean algebras in general, we classify the spectra of Tukey types of ultraf…
Survey on the Tukey theory of ultrafilters
Natasha Dobrinen
This article surveys results regarding the Tukey theory of ultrafilters on countable base sets. The driving forces for this investigation are Isbell's Problem and the question of h…
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…