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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.GN2022★ 2 cited
Hereditarily indecomposable continua as generic mathematical structures
Adam Bartoš, Wiesław Kubiś
We characterize the pseudo-arc as well as P-adic pseudo-solenoids (for a set of primes P) as generic structures, arising from a natural game in which two players alternate in build…