59 citations · 170 across the 22 of their papers we have counts for
25 papers
Vietoris hyperspaces of scattered Priestley spaces
T. Banakh, R. Bonnet, W. Kubiś
We study Vietoris hyperspaces of closed and closed final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is \emph{Skula} if its to…
Lattice-Free and Point-Free: Vickers Duality for Subbases of Stably Locally Compact Spaces
Tristan Bice, Wieslaw Kubis
Inspired by classic work of Wallman and more recent work of Jung-Kegelmann-Moshier and Vickers, we show how to encode general subbases of stably locally compact spaces via certain…
Homogeneous probability measures on the Cantor set
W. Bielas, W. Kubiś, M. Walczyńska
We show that every homeomorphism between closed measure zero subsets extends to a measure preserving auto-homeomorphism, whenever the Cantor set is endowed with a suitable probabil…
Game-theoretic characterization of the Gurarii space
W. Kubiś
We present a simple and natural infinite game building an increasing chain of finite-dimensional Banach spaces. We show that one of the players has a strategy with the property tha…
The Lelek fan and the Poulsen simplex as Fraïssé limits
Wiesław Kubiś, Aleksandra Kwiatkowska
We describe the Lelek fan, a smooth fan whose set of end-points is dense, and the Poulsen simplex, a Choquet simplex whose set of extreme points is dense, as Fraïssé limits in cert…
Perfect independent sets with respect to infinitely many relations
Martin Doležal, Wiesław Kubiś
We prove a result on perfect cliques with respect to countably many G-delta relations on a complete metric space. As an application, we show that a Polish group contains a free sub…