Burak Kaya

E-mail

burakk@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0002-9318-5360

Scopus Author ID

57193827867

On the existence of kappa-existentially closed groups Kaya, Burak; Kegel, Otto H.; 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 cardinality κ fo...
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...