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A natural construction for the real numbers

2003/01/03 by Norbert A'Campo, Norbert A’Campo, A'Campo, Norbert
Computer Science · Mathematics · #12J15 #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:12J15

paper · pdf · doi:10.48550/arxiv.math/0301015

10 pages

arxiv created 2003/01/03 · openalex publication_date 2003/01/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new construction of the real number system, that is built directly upon the additive group of integers and has its roots in the definition due to Henri Poincaré of the rotation number of an orientation preserving homeomorphism of the circle.

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