On Completion of Arithmetical Numberings

Zarif Khisamiev (RinHis@Land.ru)
Kazakh National University (Kazakhstan)

In the joint paper of S.Badaev, S.Goncharov, and A.Sorbi devoted to the operator of completion, the following question was formulated. Does the special element of a completion of an arithmetical numbering remain be special under repeated completion with respect to another element? We will talk on answer to this question and other related topics concerning the completion operator.