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math.GN2026
Homogeneity of profinite graphs
Wiesław Kubiś, Andrzej Kucharski, Sławomir Turek
Profinite graphs are inverse limits of sequences of nonempty finite graphs. There exists a ``generic'' graph $\Pe$ in this category, although its edge relation is rather poor: only…
math.GN2023
On generic topological embeddings
Wiesław Kubiś, Andrzej Kucharski, Sławomir Turek
We show that an embedding of a fixed 0-dimensional compact space into the Čech--Stone remainder as a nowhere dense P-set is the unique generic limit, a special object in…
math.GN2006
Game Approach to Universally Kuratowski-Ulam Spaces
A. Kucharski, SZ. Plewik
We consider a version of the open-open game, indicating its connections with universally Kuratowski-Ulam spaces. We show that: Every I-favorable space is universally Kuratowski-Ula…