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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 2, Pages 319–356
(Mi fpm473)
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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
Citation:
B. G. Averbukh, “Number systems in Abelian topological groups”, Fundam. Prikl. Mat., 6:2 (2000), 319–356
Linking options:
https://www.mathnet.ru/eng/fpm473 https://www.mathnet.ru/eng/fpm/v6/i2/p319
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Statistics & downloads: |
Abstract page: | 241 | Full-text PDF : | 140 | First page: | 2 |
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