6 citations · 33 across the 36 of their papers we have counts for
5 papers · 1 filter
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…
Basis problem for analytic multiple gaps
Antonio Avilés, Stevo Todorcevic
A k-gap is a finite k-sequence of pairwise disjoint monotone families of infinite subsets of N mixed in such a way that we cannot find a partition of N such that each family is tri…
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…
Automatic Ordinals
Olivier Finkel, Stevo Todorcevic
We prove that the injectively omega-tree-automatic ordinals are the ordinals smaller than . Then we show that the injectively -automatic ordinals, where is an i…