4 citations · 4 across the 4 of their papers we have counts for
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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…
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…
A combinatorial model for the Menger curve
Aristotelis Panagiotopoulos, Slawomir Solecki
We represent the universal Menger curve as the topological realization of the projective Fraïssé limit of the class of all finite connected graphs. We…