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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 4, Pages 93–99 (Mi fpm1598)  
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
Full-text PDF (90 kB) Citations (2)
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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.
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 6, Pages 731–735
DOI: https://doi.org/10.1007/s10958-016-3001-0
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
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
Citation in format AMSBIB
\Bibitem{AruZhu14}
\by A.~V.~Arutyunov, S.~E.~Zhukovskiy
\paper On the continuity of inverse mappings for Lipschitz perturbations of covering mappings
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 4
\pages 93--99
\mathnet{http://mi.mathnet.ru/fpm1598}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431885}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 217
\issue 6
\pages 731--735
\crossref{https://doi.org/10.1007/s10958-016-3001-0}
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  • https://www.mathnet.ru/eng/fpm/v19/i4/p93
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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