2 citations · 2 across the 3 of their papers we have counts for
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Ramsey theory of homogeneous structures: current trends and open problems
Natasha Dobrinen
This article highlights historical achievements in the partition theory of countable homogeneous relational structures, and presents recent work, current trends, and open problems.…
Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces
Natasha Dobrinen, Sonia Navarro Flores
This paper investigates properties of -closed forcings which generate ultrafilters satisfying weak partition relations. The Ramsey degree of an ultrafilter for …
Ramsey Theory on Infinite Structures and the Method of Strong Coding Trees
Natasha Dobrinen
This article discusses some recent trends in Ramsey theory on infinite structures. Trees and their Ramsey theory have been vital to these investigations. The main ideas behind the…
A List of Problems on the Reverse Mathematics of Ramsey Theory on the Rado Graph and on Infinite, Finitely Branching Trees
Natasha Dobrinen
This list presents problems in the Reverse Mathematics of infinitary Ramsey theory which I find interesting but do not personally have the techniques to solve. The intent is to enl…
Banach Spaces from Barriers in High Dimensional Ellentuck Spaces
Alvaro Arias, Natasha Dobrinen, Gabriel Giron-Garnica +1
A new hierarchy of Banach spaces , any positive integer, is constructed using barriers in high dimensional Ellentuck spaces \cite{DobrinenJSL15} following the classic…