3 citations · 13 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…