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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 2, Pages 319–356 (Mi fpm473)  

Number systems in Abelian topological groups

B. G. Averbukh

Moscow State Forest University
Abstract: The purpose of the paper is a formalization and a study of the indicated notion. Conceptually a number system in a given group must associate with each element a word (maybe infinite) in certain alphabet. Algebraic and topological structures on the group must be characterized only by means of this correspondence. The main notions are defined by analogy with the case of real numbers.
Received: 01.04.1997
Bibliographic databases:
UDC: 510.56+512.546.2
Language: Russian
Citation: B. G. Averbukh, “Number systems in Abelian topological groups”, Fundam. Prikl. Mat., 6:2 (2000), 319–356
Citation in format AMSBIB
\Bibitem{Ave00}
\by B.~G.~Averbukh
\paper Number systems in Abelian topological groups
\jour Fundam. Prikl. Mat.
\yr 2000
\vol 6
\issue 2
\pages 319--356
\mathnet{http://mi.mathnet.ru/fpm473}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1798190}
\zmath{https://zbmath.org/?q=an:0980.22001}
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  • https://www.mathnet.ru/eng/fpm473
  • https://www.mathnet.ru/eng/fpm/v6/i2/p319
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    Фундаментальная и прикладная математика
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