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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152381 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706955956518912 |
|---|---|
| author | Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| author_facet | Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T17:02:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152381 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:02:19Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Exponent matrices and topological equivalence of maps Fedorenko, V. Kirichenko, V. Plakhotnyk, M. |
| title | 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_short | Exponent matrices and topological equivalence of maps |
| title_sort | exponent matrices and topological equivalence of maps |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152381 |
| work_keys_str_mv | AT fedorenkov exponentmatricesandtopologicalequivalenceofmaps AT kirichenkov exponentmatricesandtopologicalequivalenceofmaps AT plakhotnykm exponentmatricesandtopologicalequivalenceofmaps |