Papers & Abstracts
Acta Mathematica Nitriensia |
Content
Peter Vrábel: | Poznámka ku spojitému usporiadaniu reálnych čísel v Cantorovej konštrukcii | |
Full paper | (Remark to Continuous Ordering of Real Numbers in Cantor´s Construction) |
Abstract: The proof of the continuous ordering real numbers is somewhat complicated in the Cantor´s construction of this ordered field. Let denotes the ordering set of real numbers in the Dedekind´s construction (Cantor´s construction). The similarity of the ordered sets and is proved in the paper directly.
Keywords: continuous ordering, real numbers, Dedekind´s construction, Cantor´s construction
Classification: 97B50, 06A05
Pages: 9 – 13
DOI: 10.17846/AMN.2018.4.2.9-13
Full paper