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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10477| Title: | Higher topological complexity of planar polygon spaces having small genetic codes |
| Authors: | DATTA, SUTIRTHA DAUNDKAR, NAVNATH SARKAR, ABHISHEK Dept. of Mathematics |
| Keywords: | LS category Higher topological complexity Planar polygon spaces 2025-OCT-WEEK1 TOC-OCT-2025 2025 |
| Issue Date: | Dec-2025 |
| Publisher: | Elsevier B.V. |
| Citation: | Topology and its Applications, 375, 109575. |
| Abstract: | We study the higher (sequential) topological complexity, a numerical homotopy invariant for the planar polygon spaces. For these spaces with a small genetic codes and dimension m, Davis showed that their topological complexity is either 2m or 2m + 1. We extend these bounds to the setting of higher topological complexity. In particular, when m is power of 2, we show that the k-th higher topological complexity of these spaces is either km or km + 1. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies. |
| URI: | https://doi.org/10.1016/j.topol.2025.109575 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10477 |
| ISSN: | 0166-8641 1879-3207 |
| Appears in Collections: | JOURNAL ARTICLES |
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