59 citations · 78 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Automatic continuity of homomorphisms and fixed points on metric compacta
Christian Rosendal, Slawomir Solecki
We prove that arbitrary homomorphisms from one of the groups ${\rm Homeo}(\ca)$, ${\rm Homeo}(\ca)^\N$, ${\rm Aut}(\Q,<)$, , or into a separable…