On the Continuity of Inverse Mappings for Lipschitz Perturbations of Covering Mappings


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详细

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.

作者简介

A. Arutyunov

Peoples’ Friendship University of Russia

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Email: arutun@orc.ru
俄罗斯联邦, Moscow

S. Zhukovskiy

Peoples’ Friendship University of Russia

Email: arutun@orc.ru
俄罗斯联邦, Moscow

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