E-mail
burakk@metu.edu.tr
Department
Department of Mathematics
Scopus Author ID
Web of Science Researcher ID
Automorphisms of κ -existentially closed groups
Kaya, Burak; Kuzucuoğlu, Mahmut (2022-08-01)
We investigate the automorphisms of some κ-existentially closed groups. In particular, we prove that Aut(G) is the union of subgroups of level preserving automorphisms and | Aut(G) | = 2 κ whenever κ is inaccessible and G ...
On the closed Ramsey numbers R-cl(omega plus n, 3)
Kaya, Burak (2021-11-01)
In this paper, we contribute to the study of topological partition relations for pairs of countable ordinals and prove that, for all integers n ≥ 3, Rcl(ω + n, 3) ≥ ω2 · n + ω · (R(n, 3) − n) + n, Rcl(ω + n, 3) ≤ ω2 · n +...
On the existence of kappa-existentially closed groups
Kegel, Otto H.; Kaya, Burak; Kuzucuoğlu, Mahmut (2018-09-01)
We prove that a κ-existentially closed group of cardinality λ exists whenever κ ≤ λ are uncountable cardinals with λ^{<κ} = λ. In particular, we show that there exists a κ-existentially closed group of cardinalityκ for ...
THE COMPLEXITY OF THE TOPOLOGICAL CONJUGACY PROBLEM FOR TOEPLITZ SUBSHIFTS
Kaya, Burak (2017-06-01)
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 subshifts with separated holes is hyperfinite. ...
The complexity of topological conjugacy of pointed Cantor minimal systems
Kaya, Burak (2017-05-01)
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 conjugacy relation on pointed Cantor minim...
Citation Formats