4 citations · 4 across the 4 of their papers we have counts for
7 papers
Polish modules over subrings of
Dexuan Hu, Sławomir Solecki
We give a method of producing a Polish module over an arbitrary subring of from an ideal of subsets of and a sequence in . The method allows us t…
Logics for Epistemic Actions: Completeness, Decidability, Expressivity
Alexandru Baltag, Lawrence S. Moss, Slawomir Solecki
We consider dynamic versions of epistemic logic as formulated in Baltag and Moss "Logics for epistemic programs" (2004). That paper proposed a logical language (actually families o…
The spectral form of Koopman representations of the group of measurable functions with values in the circle
Justin Tatch Moore, Sławomir Solecki
We compute the spectral form of the Koopman representation induced by a natural boolean action of identified earlier by the authors. Our computation establish…
Tukey order among ideals
Jialiang He, Michael Hrušák, Diego Rojas-Rebolledo +1
We investigate the Tukey order in the class of ideals of subsets of . We show that no nontrivial ideal is Tukey below a ideal of compact sets. We introduce the…
Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations
Sławomir Solecki
We introduce the notion of filtration between topologies and study its stabilization properties. Descriptive set theoretic complexity plays a role in this study. Filtrations lead t…
Concentration of measure, classification of submeasures, and dynamics of
Friedrich Martin Schneider, Sławomir Solecki
Exhibiting a new type of measure concentration, we prove uniform concentration bounds for measurable Lipschitz functions on product spaces, where Lipschitz is taken with respect to…