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Two concrete new constructions of the real numbers

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Publication:1123221
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DOI10.1216/RMJ-1988-18-4-813zbMath0677.10006OpenAlexW2064176208MaRDI QIDQ1123221

Arnold Knopfmacher, John Knopfmacher

Publication date: 1988

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1988-18-4-813


zbMATH Keywords

rationalityEngel seriesSylvester seriesdense setsnumber systemrepresentations of real numbers


Mathematics Subject Classification ID

Continued fractions (11A55) Radix representation; digital problems (11A63) Foundations: limits and generalizations, elementary topology of the line (26A03)


Related Items (6)

SEL Egyptian fraction expansion and characterizations of rational numbers ⋮ KNOPFMACHER EXPANSIONS IN NUMBER THEORY ⋮ A new construction of the real numbers by alternating series ⋮ Survey article: The real numbers -- a survey of constructions ⋮ SEL series expansion and generalized model construction for the real number system via series of rationals ⋮ A new set theory for analysis







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