Acta Mathematica Nitriensia Vol. 4, No. 2, 2018

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