S. E. Zhukovskiy, “On the retracts of finite-dimensional spaces, generated by coercive mappings”, Chebyshevskii Sb., 21:2 (2020), 139

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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}

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https://www.mathnet.ru/eng/cheb/v21/i2/p139

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