Negative Dense Linear Orders
- Authors: Kasymov N.K.1, Dadazhanov R.N.1
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Affiliations:
- Uzbekistan National University
- Issue: Vol 58, No 6 (2017)
- Pages: 1015-1033
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171575
- DOI: https://doi.org/10.1134/S0037446617060118
- ID: 171575
Cite item
Abstract
Considering dense linear orders, we establish their negative representability over every infinite negative equivalence, as well as uniformly computable separability by computable gaps and the productivity of the set of computable sections of their negative representations. We construct an infinite decreasing chain of negative representability degrees of linear orders and prove the computability of locally computable enumerations of the field of rational numbers.
About the authors
N. Kh. Kasymov
Uzbekistan National University
Author for correspondence.
Email: nadim59@mail.ru
Uzbekistan, Tashkent
R. N. Dadazhanov
Uzbekistan National University
Email: nadim59@mail.ru
Uzbekistan, Tashkent