Shranjeno v:
| Glavni avtor: | |
|---|---|
| Format: | Preprint |
| Izdano: |
2024
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| Teme: | |
| Online dostop: | https://arxiv.org/abs/2402.05205 |
| Oznake: |
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Kazalo:
- We prove several positive results regarding representation of homotopy classes of spheres and algebraic groups by regular mappings. Most importantly we show that every mapping from a sphere to an orthogonal or a unitary group is homotopic to a regular one. Furthermore we prove that algebraic homotopy classes of spheres form a subgroup of the homotopy group, and that a similar result holds also for cohomotopy groups of arbitrary varieties.