Una costruzione del sistema dei numeri reali

Details Una costruzione del sistema dei numeri reali Una costruzione del sistema dei numeri reali

2012-03-05

arxiv.org/abs/1203.1283v1

Mathematics

General Mathematics

Scientific paper

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.

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