Музыка: | Schumann & Kurtág by Hélène Desaint with Louis Lortie, Nathanaël Gouin & Ronald Van Spaendonck |
https://arxiv.org/abs/1811.02606
Lipschitz null-homotopy of mappings S3→S2
Aleksandr Berdnikov
(Submitted on 6 Nov 2018)
Given two mappings f0,f1:Sm→Sn of the same homotopy class and Lipschitz constant L, there is an interest in finding a homotopy f∙:S3×[0,1]→S2 between them that is (asymptotically) as simple as possible. The present paper resolves this problem in the case m=3, n=2 (the simplest one where the problem was open), constructing a homotopy f∙ with Lipschitz constant O(L).