Transformations of (0,1] preserving tails of Δμ-representation of numbers

• Published in: Algebra and Discrete Mathematics
• Date: 2016
• Main Authors: Isaieva, T.M., Pratsiovytyi, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155748
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Transformations of (0,1] preserving tails of Δμ-representation of numbers / T.M. Isaieva, M.V. Pratsiovytyi // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 102-115. — Бібліогр.: 25 назв. — англ.

In the paper, classes of continuous strictly increasing functions preserving ``tails'' of Δμ-representation of numbers are constructed. Using these functions we construct also continuous transformations of (0,1]. We prove that the set of all such transformations is infinite and forms non-c...