Geodesic
On the continuity of inverse mappings for Lipschitz perturbations of covering mappings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 4, pp. 93-99.

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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. 
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A. V. Arutyunov; S. E. Zhukovskiy. On the continuity of inverse mappings for Lipschitz perturbations of covering mappings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 4, pp. 93-99. http://geodesic.mathdoc.fr/item/FPM_2014_19_4_a2/

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