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…
cs.SE2024
To Do or Not to Do: Semantics and Patterns for Do Activities in UML PSSM State Machines
Márton Elekes, Vince Molnár, Zoltán Micskei
State machines are used in engineering many types of software-intensive systems. UML State Machines extend simple finite state machines with powerful constructs. Among the many ext…