3 papers
math.CO2024
Categorical approach to graph limits
Martin Doležal, Wiesław Kubiś
We define and study a natural category of graph limits. The objects are pairs , where (the distribution of vertices) is an abstract probability measure on some abstract…
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.LO2021
Evolution systems: A framework for studying generic mathematical structures
Wiesław Kubiś, Paulina Radecka
We introduce the concept of an abstract evolution system, which provides a convenient framework for studying generic mathematical structures and their properties. Roughly speaking,…