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20122022
most citedA new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters

3 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO20221 cited

Fraisse structures with SDAP+, Part II: Simply characterized big Ramsey structures

Rebecca Coulson, Natasha Dobrinen, Rehana Patel

This is Part II of a two-part series regarding Ramsey properties of Fraisse structures satisfying a property called SDAP+, which strengthens the Disjoint Amalgamation Property. In…

math.CO2022

Fraisse Structures with SDAP+, Part I: Indivisibility

Rebecca Coulson, Natasha Dobrinen, Rehana Patel

This is Part I of a two-part series regarding Ramsey properties of Fraisse structures satisfying a property called SDAP+, which strengthens the Disjoint Amalgamation Property. We p…

math.CO2014

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

math.CO2014

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…

math.LO2014

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…

math.LO20123 cited

A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters

Natasha Dobrinen, Stevo Todorcevic

Motivated by Tukey classification problems and building on work in \cite{Dobrinen/Todorcevic11}, we develop a new hierarchy of topological Ramsey spaces , . T…