6 citations · 21 across the 27 of their papers we have counts for
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Oscilation stability for continuous monotone surjections
Stevo Todorcevic, Konstantinos Tyros
We prove that for every integer and positive real there exists a finite number such that for every finite coloring of the nondecreasing surjections…
Subsets of Products of Finite Sets of Positive Upper Density
Stevo Todorcevic, Konstantinos Tyros
In this note we prove that for every sequence of positive integers and for every real there is a sequence of positive integers such that for…
Measurable events indexed by products of trees
Pandelis Dodos, Vassilis Kanellopoulos, Konstantinos Tyros
A tree is said to be homogeneous if it is uniquely rooted and there exists an integer $b\meg 2$, called the branching number of , such that every has exactly im…
A simple proof of the density Hales-Jewett theorem
Pandelis Dodos, Vassilis Kanellopoulos, Konstantinos Tyros
We give a purely combinatorial proof of the density Hales--Jewett Theorem that is modeled after Polymath's proof but is significantly simpler. In particular, we avoid the use of th…
A density version of the Carlson--Simpson theorem
Pandelis Dodos, Vassilis Kanellopoulos, Konstantinos Tyros
We prove a density version of the Carlson--Simpson Theorem. Specifically we show the following. For every integer and every set of words over satisfying \[\limsup…