5 citations · 8 across the 8 of their papers we have counts for
8 papers
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…
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…
Automorphisms of -existentially closed groups
Burak Kaya, Mahmut Kuzucuoğlu
We investigate the automorphisms of some - existentially closed groups. In particular, we prove that is the union of subgroups of level preserving automorphisms and $|A…
On the closed Ramsey numbers
Burak Kaya, Irmak Saglam
In this paper, we contribute to the study of topological partition relations for pairs of countable ordinals and prove that, for all integers , \begin{align*} R^{cl}(ω+n,…
Descriptive complexity of subsets of the space of finitely generated groups
Mustafa Gökhan Benli, Burak Kaya
In this paper, we determine the descriptive complexity of subsets of the Polish space of marked groups defined by various group theoretic properties. In particular, using Grigorchu…
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…
The complexity of the topological conjugacy problem for Toeplitz subshifts
Burak Kaya
In this paper, we analyze the Borel complexity of the topological conjugacy relation on Toeplitz subshifts. More specifically, we prove that topological conjugacy of Toeplitz subsh…
The complexity of topological conjugacy of pointed Cantor minimal systems
Burak Kaya
In this paper, we analyze the complexity of topological conjugacy of pointed Cantor minimal systems from the point of view of descriptive set theory. We prove that the topological…