6 citations · 6 across the 3 of their papers we have counts for
4 papers
Schreier Sets in Ramsey Theory
V. Farmaki, S. Negrepontis
We show that Ramsey theory, a domain presently conceived to guarantee the existence of large homogeneous sets for partitions on k-tuples of words (for every natural number k) over…
Block Combinatorics
V. Farmaki, S. Negrepontis
In this paper we extend the block combinatorics partition theorems of Hindman and Milliken in the setting of the recursive system of the block Schreier families (B^xi) consisting o…
Ramsey and Nash-Williams combinatorics via Schreier families
Vassiliki Farmaki
The main results of this paper (a) extend the finite Ramsey partition theorem, and (b) employ this extension to obtain a stronger form of the infinite Nash-Williams partition theor…
Ramsey dichotomies with ordinal index
V. Farmaki
A system of uniform families on an infinite subset of $\nn$ is a collection $(\cca_ξ)_{ξ<ω_1}$ of families of finite subsets of $\nn$ (where, $\cca_k$ consists of all --elem…