59 citations · 78 across the 13 of their papers we have counts for
13 papers
Finite Ramsey Theory through Category Theory
Sławomir Solecki
We present a new, category theoretic point of view on finite Ramsey theory. Our aims are as follows: -- to define the category theoretic notions needed for the development of finit…
Baire theorem for ideals of sets
A. Avilés, V. Kadets, A. Pérez +1
We study ideals on satisfying the following Baire-type property: if is a complete metric space and is a family…
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…
Dual Ramsey theorem for trees
Sławomir Solecki
The classical Ramsey theorem was generalized in two major ways: to the dual Ramsey theorem, by Graham and Rothschild, and to Ramsey theorems for trees, initially by Deuber and Leeb…
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…