Email this article On the Continuity of Inverse Mappings for Lipschitz Perturbations of Covering Mappings
- Authors: Arutyunov A.V.1, Zhukovskiy S.E.1
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Affiliations:
- Peoples’ Friendship University of Russia
- Issue: Vol 217, No 6 (2016)
- Pages: 731-735
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238135
- DOI: https://doi.org/10.1007/s10958-016-3001-0
- ID: 238135
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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.
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 19, No. 4, pp. 93–99, 2014.
About the authors
A. V. Arutyunov
Peoples’ Friendship University of Russia
Author for correspondence.
Email: arutun@orc.ru
Russian Federation, Moscow
S. E. Zhukovskiy
Peoples’ Friendship University of Russia
Email: arutun@orc.ru
Russian Federation, Moscow
