Homotopy properties of regular mappings into real retract rational varieties
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915795162890240 |
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| author | Banecki, Juliusz |
| author_facet | Banecki, Juliusz |
| contents | We study homotopy properties of regular mappings from spheres into a real retract rational variety $Y$. We show that the homotopy classes which are represented by such mappings form subgroups of the homotopy groups of $Y$, and that the groups are independent of the choice of the basepoint on $Y$ as long as $Y$ is connected. We also construct regular representatives of all the Whitehead products in all the homotopy groups of $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11203 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homotopy properties of regular mappings into real retract rational varieties Banecki, Juliusz Algebraic Geometry Algebraic Topology 14P25, 55Q05 We study homotopy properties of regular mappings from spheres into a real retract rational variety $Y$. We show that the homotopy classes which are represented by such mappings form subgroups of the homotopy groups of $Y$, and that the groups are independent of the choice of the basepoint on $Y$ as long as $Y$ is connected. We also construct regular representatives of all the Whitehead products in all the homotopy groups of $Y$. |
| title | Homotopy properties of regular mappings into real retract rational varieties |
| topic | Algebraic Geometry Algebraic Topology 14P25, 55Q05 |
| url | https://arxiv.org/abs/2505.11203 |