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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.GN2019
Supercompact minus compact is super
Taras Banakh, Zdzisław Kosztołowicz, Sławomir Turek
According to a folklore characterization of supercompact spaces, a compact Hausdorff space is supercompact if and only if it has a binary closed -network. This characterization…