Group of continuous transformations of real interval preserving tails of G₂-representation of numbers

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• ISSN: 1726-3255
• Main Authors: Pratsiovytyi, M.V., Lysenko, I.M., Maslova, Yu.P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188505
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Group of continuous transformations of real interval preserving tails of G₂-representation of numbers / M.V. Pratsiovytyi, I.M. Lysenko, Yu.P. Maslova // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 99–108. — Бібліогр.: 10 назв. — англ.

In the paper, we consider a two-symbol system of encoding for real numbers with two bases having different signs g₀ < 1 and g₁ = g₀ − 1. Transformations (bijections of the set to itself) of interval [0, g₀] preserving tails of this representation of numbers are studied. We prove constructivel...