Exponent matrices and topological equivalence of maps

Volodymyr Fedorenko, Volodymyr Kirichenko, Makar Plakhotnyk


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 constructed. Easy way of finding the quiver of the map in terms of the set of its extrema is found.


exponent matrix, finite orbits, topological equivalence

Full Text:



  • There are currently no refbacks.