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On the retracts of finite-dimensional spaces, generated by coercive mappings

https://doi.org/10.22405/2226-8383-2020-21-2-139-143

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.

About the Author

Sergey Evgenevich Zhukovskiy
V. A. Trapeznikov Institute of Control Sciences of RAS
Russian Federation
Doctor of Physics and Mathematics, associate professor


Review

For citations:


Zhukovskiy S.E. On the retracts of finite-dimensional spaces, generated by coercive mappings. Chebyshevskii Sbornik. 2020;21(2):139-143. https://doi.org/10.22405/2226-8383-2020-21-2-139-143

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ISSN 2226-8383 (Print)