A Note on Semialgebraically Proper Maps
We prove that a semialgebraic map is semialgebraically proper if and only if it is proper. As an application of this assertion, we compare the semialgebraically proper actions with proper actions in a sense of Palais.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 9, pp 1414-1422.
Citation Example: Park Dae Heui A Note on Semialgebraically Proper Maps // Ukr. Mat. Zh. - 2014. - 66, № 9. - pp. 1262–1268.