3 papers
math.LO2024
Uncountable homogeneous structures
Adam Bartoš, Wiesław Kubiś
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.GN2023
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…
math.DS2018
Constant slope, entropy and horseshoes for a map on a tame graph
Adam Bartoš, Jozef Bobok, Pavel Pyrih +2
We study continuous countably (strictly) monotone maps defined on a tame graph, i.e., a special Peano continuum for which the set containing branchpoints and endpoints has a counta…