Exponent matrices and topological equivalence of maps

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Fedorenko, V., Kirichenko, V., Plakhotnyk, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152381
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exponent matrices and topological equivalence of maps / V. Fedorenko, V. Kirichenko, M. Plakhotnyk
 // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 45–58. — Бібліогр.: 5 назв. — англ.

Conjugate classes of continuous maps of the interval [0,1] into itself, whose iterations form a finite group are described. For each of possible groups of iterations one to one correspondence between conjugate classes of maps and equivalent classes of (0,1)-exponent matrices of special form is const...