3 papers
math.LO2025
Generic isomorphism classes of abelian groups
Udayan B. Darji, Márton Elekes, Tamás Kátay +2
We prove that the universal solenoid is the generic (in the sense of Baire category) connected compact metrizable abelian group. We also settle the dual problem in the sense of Pon…
math.LO2025
Generic properties of topological groups
Márton Elekes, Boglárka Gehér, Tamás Kátay +3
We study generic properties of topological groups in the sense of Baire category. First we investigate countably infinite (discrete) groups. We extend a classical result of B. H. N…
math.CO2024
On the structures of subset sums in higher dimension
Norbert Hegyvári, Máté Pálfy, Erfei Yue
A given subset of natural numbers is said to be complete if every element of is the sum of distinct terms taken from . This topic is strongly connected to the knapsack…