The Topological Type of Equilateral and Almost Equiangular Polygon Spaces
Let Pn be the configuration space of equilateral spatial n-gons. For θ∈0,π and k∈0,1,…,n, let Pnkθ be the subspace of Pn consisting of elements whose first k bond angles are θ. Recently, the topological type of Pnkθ was determined for small n, special θ, and k=n or n−2. In this paper, we determine t...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/6958218 |
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| author | Yasuhiko Kamiyama |
| author_facet | Yasuhiko Kamiyama |
| author_sort | Yasuhiko Kamiyama |
| collection | DOAJ |
| description | Let Pn be the configuration space of equilateral spatial n-gons. For θ∈0,π and k∈0,1,…,n, let Pnkθ be the subspace of Pn consisting of elements whose first k bond angles are θ. Recently, the topological type of Pnkθ was determined for small n, special θ, and k=n or n−2. In this paper, we determine the topological type of Pnn−3θ for general n and θ. |
| format | Article |
| id | doaj-art-b7a4ad2333f843f283ef323f8063af42 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b7a4ad2333f843f283ef323f8063af422025-02-03T00:59:29ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/69582186958218The Topological Type of Equilateral and Almost Equiangular Polygon SpacesYasuhiko Kamiyama0Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa 903-0213, JapanLet Pn be the configuration space of equilateral spatial n-gons. For θ∈0,π and k∈0,1,…,n, let Pnkθ be the subspace of Pn consisting of elements whose first k bond angles are θ. Recently, the topological type of Pnkθ was determined for small n, special θ, and k=n or n−2. In this paper, we determine the topological type of Pnn−3θ for general n and θ.http://dx.doi.org/10.1155/2019/6958218 |
| spellingShingle | Yasuhiko Kamiyama The Topological Type of Equilateral and Almost Equiangular Polygon Spaces Journal of Mathematics |
| title | The Topological Type of Equilateral and Almost Equiangular Polygon Spaces |
| title_full | The Topological Type of Equilateral and Almost Equiangular Polygon Spaces |
| title_fullStr | The Topological Type of Equilateral and Almost Equiangular Polygon Spaces |
| title_full_unstemmed | The Topological Type of Equilateral and Almost Equiangular Polygon Spaces |
| title_short | The Topological Type of Equilateral and Almost Equiangular Polygon Spaces |
| title_sort | topological type of equilateral and almost equiangular polygon spaces |
| url | http://dx.doi.org/10.1155/2019/6958218 |
| work_keys_str_mv | AT yasuhikokamiyama thetopologicaltypeofequilateralandalmostequiangularpolygonspaces AT yasuhikokamiyama topologicaltypeofequilateralandalmostequiangularpolygonspaces |