Homotopy properties of regular mappings into real retract rational varieties
Algebraic Geometry
2026-02-16 v3 Algebraic Topology
Abstract
We study homotopy properties of regular mappings from spheres into a real retract rational variety . We show that the homotopy classes which are represented by such mappings form subgroups of the homotopy groups of , and that the groups are independent of the choice of the basepoint on as long as is connected. We also construct regular representatives of all the Whitehead products in all the homotopy groups of .
Keywords
Cite
@article{arxiv.2505.11203,
title = {Homotopy properties of regular mappings into real retract rational varieties},
author = {Juliusz Banecki},
journal= {arXiv preprint arXiv:2505.11203},
year = {2026}
}