Describing the real numbers in terms of integers.

DOI10.1007/s00013-005-1413-zzbMath1098.16017OpenAlexW2042907776MaRDI QIDQ2487028

Theo Grundhöfer

Publication date: 17 August 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-005-1413-z

zbMATH Keywords

real number fieldconstruction of real numbersnear-endomorphismsnearrings of mappings

Mathematics Subject Classification ID

Near-rings (16Y30) Foundations: limits and generalizations, elementary topology of the line (26A03) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (3)

Survey article: The real numbers -- a survey of constructions ⋮ An integer construction of infinitesimals: toward a theory of eudoxus hyperreals ⋮ Constructing the completion of a field using quasimorphisms

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