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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 4, Pages 93–99
(Mi fpm1598)
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This article is cited in 2 scientific papers (total in 2 papers)
On the continuity of inverse mappings for Lipschitz perturbations of covering mappings
A. V. Arutyunov, S. E. Zhukovskiy Peoples Friendship University of Russia
Abstract:
In this paper, we study the question of the existence of a continuous right inverse mapping for a covering mapping. To describe covering mappings that have a continuous right inverse, a concept of strong covering is introduced. It is shown that the property of strong covering is stable under small Lipschitz perturbations.
Citation:
A. V. Arutyunov, S. E. Zhukovskiy, “On the continuity of inverse mappings for Lipschitz perturbations of covering mappings”, Fundam. Prikl. Mat., 19:4 (2014), 93–99; J. Math. Sci., 217:6 (2016), 731–735
Linking options:
https://www.mathnet.ru/eng/fpm1598 https://www.mathnet.ru/eng/fpm/v19/i4/p93
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Abstract page: | 463 | Full-text PDF : | 191 | References: | 73 |
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