Una costruzione del sistema dei numeri reali
General Mathematics
2012-03-07 v1
Abstract
There are many ways to construct the field R of real numbers. The most important and famous of these employ Cauchy sequences (Cantor) or cuts (Dedekind) in the field Q of rational numbers. These constructions sometimes overlook important details and often are complicated and cumbersome. In this note, the authors propose an essential, clear and rigorous construction of R from the stucture Q+ of positive rational numbers by the key notion of initial segment.
Keywords
Cite
@article{arxiv.1203.1283,
title = {Una costruzione del sistema dei numeri reali},
author = {Maria Rosaria Enea and Donato Saeli},
journal= {arXiv preprint arXiv:1203.1283},
year = {2012}
}