5 papers
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…
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…
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…
Compact Lie groups isolated up to conjugacy
Balázs Csikós, Tamás Kátay, Anett Kocsis +1
The set of compact subgroups of a Hausdorff topological group can be equipped with the Vietoris topology. A compact subgroup is isolated up…
On a Communication Complexity problem in Combinatorial Number Theory
Bence Bakos, Norbert Hegyvári, Máté Pálfy
The original knapsack problem is well known to be NP-complete. In a multidimensional version one have to decide whether a is in a sumset-sum of a set …