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math.GN2026★ 2 cited
Hereditarily indecomposable continua as generic mathematical structures
Adam BartoÅ¡, WiesÅaw KubiÅ
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…
math.GN2024
Constructing Compacta from Posets
Adam Bartoš, Tristan Bice, Alessandro Vignati
We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second countable T_1 compacta. This results in a du…