Exponent matrices and topological equivalence of maps
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...
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| Datum: | 2018 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/867 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Zusammenfassung: | 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. |
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