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arXiv · 2505.11203

Homotopy properties of regular mappings into real retract rational varieties

Juliusz Banecki
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Abstract

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 $Y$.

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Juliusz Banecki. 2025-05-16. Homotopy properties of regular mappings into real retract rational varieties. https://arxiv.org/abs/2505.11203

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