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math.LO2026
On closed Ramsey numbers of small countable ordinals
Necdet Duman, Özge Gönül, Burak Kaya +2
This paper is a contribution to the investigation of closed partition relations for pairs of countable ordinals. As our main result, we prove that \[ω^4 \cdot (n-2)+1 < R^{cl}(ω\cd…
math.LO2024
Limit Groups and Automorphisms of -Existentially Closed Groups
Burak Kaya, Mahmut Kuzucuoğlu, Patrizia Longobardi +1
The structure of automorphism groups of -existentially closed groups are studied by Kaya-Kuzucuoğlu in 2022. It was proved that Aut(G) is the union of subgroups of level preserv…
math.LO2017
On the complexity of topological conjugacy of compact metrizable -ambits
Burak Kaya
In this note, we analyze the classification problem for compact metrizable -ambits for a countable discrete group from the point of view of descriptive set theory. More prec…