3 citations · 13 across the 9 of their papers we have counts for
9 papers
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…
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…
Homogeneous isosceles-free spaces
Christian Bargetz, Adam Bartoš, Wiesław Kubiś +1
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we c…
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…
The weak Ramsey property and extreme amenability
Adam Bartoš, Tristan Bice, Keegan Dasilva Barbosa +1
We extend the Kechris--Pestov--Todorčević correspondence to weak Fra\"ıssé categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property. We…
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…
Compactifiable classes of compacta
A. Bartoš, J. Bobok, J. van Mill +2
We introduce the notion of compactifiable classes -- these are classes of metrizable compact spaces that can be up to homeomorphic copies ``disjointly combined'' into one metrizabl…
Tree sums of maximal connected spaces
Adam Bartoš
A topology on a set is called maximal connected if it is connected, but no strictly finer topology is connected. We consider a construction of so-called tree sums…
Lower separation axioms via Borel and Baire algebras
Taras Banakh, Adam Bartoš
Let be an infinite regular cardinal. We define a topological space to be -space (resp. a -space) if for every the singleton belongs…