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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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Інститут прикладної математики і механіки НАН України
2007
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152381 |
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irk-123456789-1523812019-06-11T01:25:35Z Exponent matrices and topological equivalence of maps Fedorenko, V. Kirichenko, V. Plakhotnyk, M. 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. 2007 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152381 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| spellingShingle |
Fedorenko, V. Kirichenko, V. Plakhotnyk, M. Exponent matrices and topological equivalence of maps Algebra and Discrete Mathematics |
| author_facet |
Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| author_sort |
Fedorenko, V. |
| title |
Exponent matrices and topological equivalence of maps |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT fedorenkov exponentmatricesandtopologicalequivalenceofmaps AT kirichenkov exponentmatricesandtopologicalequivalenceofmaps AT plakhotnykm exponentmatricesandtopologicalequivalenceofmaps |
| first_indexed |
2023-05-20T17:38:12Z |
| last_indexed |
2023-05-20T17:38:12Z |
| _version_ |
1796153743865020416 |