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 form is const...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152381 |
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| Zitieren: | 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. |
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Fedorenko, V. Kirichenko, V. Plakhotnyk, M. 2019-06-10T17:16:31Z 2019-06-10T17:16:31Z 2007 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. 1726-3255 2000 Mathematics Subject Classification:05С50, 37C15, 37C25. https://nasplib.isofts.kiev.ua/handle/123456789/152381 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Exponent matrices and topological equivalence of maps Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Exponent matrices and topological equivalence of maps |
| spellingShingle |
Exponent matrices and topological equivalence of maps Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| title_short |
Exponent matrices and topological equivalence of maps |
| title_full |
Exponent matrices and topological equivalence of maps |
| title_fullStr |
Exponent matrices and topological equivalence of maps |
| title_full_unstemmed |
Exponent matrices and topological equivalence of maps |
| title_sort |
exponent matrices and topological equivalence of maps |
| author |
Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| author_facet |
Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152381 |
| citation_txt |
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. |
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AT fedorenkov exponentmatricesandtopologicalequivalenceofmaps AT kirichenkov exponentmatricesandtopologicalequivalenceofmaps AT plakhotnykm exponentmatricesandtopologicalequivalenceofmaps |
| first_indexed |
2025-12-07T17:02:19Z |
| last_indexed |
2025-12-07T17:02:19Z |
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1850869745870438400 |