Geodesic
On the retracts of finite-dimensional spaces, generated by coercive mappings
Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 139-143.

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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. 
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S. E. Zhukovskiy. On the retracts of finite-dimensional spaces, generated by coercive mappings. Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 139-143. http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a10/

[1] Engelking R., General topology, Mir, M., 1986 (in Russian) | MR

[2] Fomenko A. T., Fuks D. B., A course in homotopic topology, Nauka, M., 1989 | MR

[3] Arutyunov A. V., Zhukovskiy S. E., “Application of Methods of Ordinary Differential Equations to Global Inverse Function Theorems”, Differential Equations, 55:4 (2019), 437–448 | DOI | MR | Zbl

[4] Ortega J., Reinboldt V., Iterative methods for solving nonlinear systems of equations with many variables, Mir Publ., M., 1975