Exponent matrices and topological equivalence of maps

• Datum: 2018
• Hauptverfasser: Fedorenko, Volodymyr, Kirichenko, Volodymyr, Plakhotnyk, Makar
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: exponent matrix; finite orbits; topological equivalence; 05С50; 37C15; 37C25
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/867
• Назва журналу: 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...