Two constructions of the real numbers via alternating series

DOI10.1155/S0161171289000736zbMath0683.10008OpenAlexW2155674778MaRDI QIDQ1824647

Arnold Knopfmacher, John Knopfmacher

Publication date: 1989

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46409

zbMATH Keywords

rationalsdenseordered field of real numbersalternating series expansionsclosure of the set of finite decimal expansionsconstruction of number system

Mathematics Subject Classification ID

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

Related Items (5)

KNOPFMACHER EXPANSIONS IN NUMBER THEORY ⋮ On actually computable bijections between \(\mathbb N\) and \(\mathbb Q^+\) ⋮ A new construction of the real numbers by alternating series ⋮ Survey article: The real numbers -- a survey of constructions ⋮ On the error-sum function of alternating Lüroth series

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