16 citations · 60 across the 30 of their papers we have counts for
10 papers · 1 filter
Characterisation of the big Ramsey degrees of the generic partial order
Martin Balko, David Chodounský, Natasha Dobrinen +4
As a result of 33 intercontinental Zoom calls, we characterise big Ramsey degrees of the generic partial order. This is an infinitary extension of the well known fact that finite p…
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…
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…
Big Ramsey degrees in universal inverse limit structures
Natasha Dobrinen, Kaiyun Wang
We build a collection of topological Ramsey spaces of trees giving rise to universal inverse limit structures,extending Zheng's work for the profinite graph to the setting of Fra\"…
Fraisse classes with simply characterized big Ramsey degrees
Rebecca Coulson, Natasha Dobrinen, Rehana Patel
We formulate a property strengthening the Disjoint Amalgamation Property and prove that every Fraisse structure in a finite relational language with relation symbols of arity at mo…
The Ramsey theory of the universal homogeneous triangle-free graph Part II: Exact big Ramsey degrees
Natasha Dobrinen
Building on previous work of the author, for each finite triangle-free graph , we determine the equivalence relation on the copies of inside the universal…
Borel sets of Rado graphs and Ramsey's Theorem
Natasha Dobrinen
The well-known Galvin-Prikry Theorem states that Borel subsets of the Baire space are Ramsey: Given any Borel subset , where is endowed with the…
The Ramsey Theory of Henson graphs
Natasha Dobrinen
Analogues of Ramsey's Theorem for infinite structures such as the rationals or the Rado graph have been known for some time. In this context, one looks for optimal bounds, called d…
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…