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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 139–143
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-139-143 (Mi cheb900) 		 
On the retracts of finite-dimensional spaces, generated by coercive mappings

S. E. Zhukovskiy

V. A. Trapeznikov Institute of Control Sciences of RAS (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-2-139-143
Abstract: Coercive continuous injective mappings acting from one linear finite-dimensional space to another are considered. It is proved that the images of these mappings are retracts of linear spaces.
Keywords: retract, coercive mapping, uniform regularity.
Funding agency Grant number
Russian Foundation for Basic Research 20-31-70013
Russian Science Foundation 17-11-01168
Volkswagen Foundation
Received: 28.11.2019
Accepted: 11.03.2020
Document Type: Article
UDC: 515.126
Language: English
Citation: S. E. Zhukovskiy, “On the retracts of finite-dimensional spaces, generated by coercive mappings”, Chebyshevskii Sb., 21:2 (2020), 139–143
Citation in format AMSBIB
\Bibitem{Zhu20}
\by S.~E.~Zhukovskiy
\paper On the retracts of finite-dimensional spaces, generated by coercive mappings
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 139--143
\mathnet{http://mi.mathnet.ru/cheb900}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-2-139-143}
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