Exponent matrices and topological equivalence of maps

• Date: 2018
• Main Authors: Fedorenko, Volodymyr, Kirichenko, Volodymyr, Plakhotnyk, Makar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: exponent matrix; finite orbits; topological equivalence; 05С50; 37C15; 37C25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/867
• Journal Title: Algebra and Discrete Mathematics

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...