2 citations · 3 across the 9 of their papers we have counts for
9 papers
Generic dc-automorphisms of two-sorted ultrametric spaces
Adam Bartoš, Wiesław Kubiś, Aleksandra Kwiatkowska +1
We continue to study ultrametric spaces as two-sorted structures consisting of a set of points and of a linearly ordered set of distances, together with the dc-embeddings, which we…
Chain union closures
Wiesław Kubiś, Franz-Viktor Kuhlmann
We study spherical completeness of ball spaces and its stability under expansions. We give some criteria for ball spaces that guarantee that spherical completeness is preserved whe…
On generic topological embeddings
Wiesław Kubiś, Andrzej Kucharski, Sławomir Turek
We show that an embedding of a fixed 0-dimensional compact space into the Čech--Stone remainder as a nowhere dense P-set is the unique generic limit, a special object in…
Universal monoid actions: the power of freedom
Wieslaw Kubiś
Motivated by a recent work of Balcerzak and Kania [Proc. Amer. Math. Soc. 151 (2023) 3737--3742], we show that every countable monoid has a universal action on the free object over…
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…
Homogeneous ultrametric structures
W. Kubiś, Ch. Pech, M. Pech
We develop the theory of homogeneous Polish ultrametric structures. Our starting point is a Fraisse class of finite structures and the crucial tool is the universal homogeneous epi…
Evolutions of finite graphs
Stefan Geschke, Szymon Głąb, Wiesław Kubiś
Every countable graph can be built from finite graphs by a suitable infinite process, either adding new vertices randomly or imposing some rules on the new edges. On the other hand…
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…
Homogeneity of abstract linear spaces
Wiesław Kubiś, Piotr Nowakowski, Tomasz Rzepecki
We discuss homogeneity and universality issues in the theory of abstract linear spaces, namely, structures with points and lines satisfying natural axioms, as in Euclidean or proje…