FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 2, PAGES 319-356

Number systems in Abelian topological groups

B. G. Averbuh

Abstract

View as HTML     View as gif image    View as LaTeX source

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.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k002/k00201h.htm
Last modified: September 1, 2000