Path-connectedness of the intersection of translates of St(n,H)
| Autor: | Idrissi, Nizar El, Kabbaj, Samir, Moalige, Brahim |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | If $H$ is a Hilbert space, the Stiefel manifold $St(n,H)$ is formed by all the independent $n$-tuples in $H$. In this article, we contribute to the topological study of Stiefel manifolds by proving a path-connectedness result. We prove that the intersection of translates of $St(n,H)$ is path-connected by polygonal paths under a condition on the codimension of the span of the components of the translating $n$-tuples. We rely on a lemma that we prove for the occasion. Comment: merged with arXiv:2101.00322 |
| Databáze: | arXiv |
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