Topological Complexity and LS-Category of Certain Manifolds
The Lusternik–Schnirelmann category and topological complexity are important invariants of topological spaces. In this paper, we calculate the Lusternik–Schnirelmann category and topological complexity of products of real projective spaces and their wedge products by using cup and zero-cup length. A...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/6176847 |
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| author | Fezzeh Akhtarifar Mohammad A. Asadi-Golmankhaneh |
| author_facet | Fezzeh Akhtarifar Mohammad A. Asadi-Golmankhaneh |
| author_sort | Fezzeh Akhtarifar |
| collection | DOAJ |
| description | The Lusternik–Schnirelmann category and topological complexity are important invariants of topological spaces. In this paper, we calculate the Lusternik–Schnirelmann category and topological complexity of products of real projective spaces and their wedge products by using cup and zero-cup length. Also, we will find the topological complexity of RP2k+1 by using the immersion dimension of RP2k+1. |
| format | Article |
| id | doaj-art-9992ef64ece0408e960b22032d24e4b6 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9992ef64ece0408e960b22032d24e4b62025-02-03T06:43:08ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/6176847Topological Complexity and LS-Category of Certain ManifoldsFezzeh Akhtarifar0Mohammad A. Asadi-Golmankhaneh1Department of MathematicsDepartment of MathematicsThe Lusternik–Schnirelmann category and topological complexity are important invariants of topological spaces. In this paper, we calculate the Lusternik–Schnirelmann category and topological complexity of products of real projective spaces and their wedge products by using cup and zero-cup length. Also, we will find the topological complexity of RP2k+1 by using the immersion dimension of RP2k+1.http://dx.doi.org/10.1155/2023/6176847 |
| spellingShingle | Fezzeh Akhtarifar Mohammad A. Asadi-Golmankhaneh Topological Complexity and LS-Category of Certain Manifolds Journal of Mathematics |
| title | Topological Complexity and LS-Category of Certain Manifolds |
| title_full | Topological Complexity and LS-Category of Certain Manifolds |
| title_fullStr | Topological Complexity and LS-Category of Certain Manifolds |
| title_full_unstemmed | Topological Complexity and LS-Category of Certain Manifolds |
| title_short | Topological Complexity and LS-Category of Certain Manifolds |
| title_sort | topological complexity and ls category of certain manifolds |
| url | http://dx.doi.org/10.1155/2023/6176847 |
| work_keys_str_mv | AT fezzehakhtarifar topologicalcomplexityandlscategoryofcertainmanifolds AT mohammadaasadigolmankhaneh topologicalcomplexityandlscategoryofcertainmanifolds |