3 papers
math.GN2026
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.LO2025
Uncountable homogeneous structures
Adam BartoÅ¡, WiesÅaw KubiÅ
We study the existence of uncountable first-order structures that are homogeneous with respect to their finitely generated substructures. In many classical cases this is either wel…
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…