3 citations · 6 across the 5 of their papers we have counts for
5 papers
Recent developments in finite Ramsey theory: foundational aspects and connections with dynamics
Sławomir Solecki
We survey some recent results in Ramsey theory. We indicate their connections with topological dynamics. On the foundational side, we describe an abstract approach to finite Ramsey…
Tukey reduction among analytic directed orders
Sławomir Solecki
This is a survey of recent work on the structure of Tukey reductions among analytic -ideals of compact subsets of compact metric spaces and analytic P-ideals of sets of natural…
Unitary representations of the groups of measurable and continuous functions with values in the circle
Slawomir Solecki
We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and…
A Ramsey theorem for partial orders with linear extensions
Slawomir Solecki, Min Zhao
We prove a Ramsey theorem for finite sets equipped with a partial order and a fixed number of linear orders extending the partial order. This is a common generalization of two rece…
Borel equivalence relations and Lascar strong types
Krzysztof Krupinski, Anand Pillay, Slawomir Solecki
The space of Lascar strong types, on some sort and relative to a given first order theory T, is in general not a compact Hausdorff space. This paper has at least three aims. First…