Dimitris Vlitas

collaborators

5 papers

math.LO2017

An abstract approach in canonizing topological Ramsey spaces

Dimitris Vlitas

In \cite{To} S. Todorcevic introduced the notion of a topological Ramsey space and a list of axioms required to be satisfied by any such a space. Here we show that any topological…

math.LO2017

Canonical equivalence relations on fronts on $F I N_{k}$

Dimitris Vlitas

We prove that for every equivalence relation on a barrier on the space $⟨ F I N_{k}^{[\infty]}, \leq, r ⟩$ , for any $k$ , there exists $Y \in F I N_{k}^{[\infty]}$ so that the restr…

math.LO2013

Canonical Borel equivalence relations on $R^{n}$

Dimitris Vlitas

In this paper we complete the attempt of H. Lefmann to show that Borel equivalence relations on the $n$ -element subsets of $2^{ω}$ , that respect an order type, have a finite Ramsey b…

math.LO2013

A canonical partition theorem for uniform families of finite strong subtrees

Dimitris Vlitas

Extending a result of K. Milliken \cite{Mi2}, in this paper we prove a Ramsey classification result for equivalence relations defined on uniform families of finite strong subtrees…

math.LO2013

An Infinite self dual Ramsey theorem

Dimitris Vlitas

In a recent paper \cite{So} S. Solecki proves a finite self dual Ramsey theorem that in a natural way gives simultaneously the classical finite Ramsey theorem \cite{Ra} and the Gra…

An abstract approach in canonizing topological Ramsey spaces

Canonical equivalence relations on fronts on FINk​

Canonical Borel equivalence relations on Rn

A canonical partition theorem for uniform families of finite strong subtrees

An Infinite self dual Ramsey theorem

Canonical equivalence relations on fronts on $F I N_{k}$

Canonical Borel equivalence relations on $R^{n}$