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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 9, pp. 1262–1268, September, 2014
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Park, D.H. A Note on Semialgebraically Proper Maps. Ukr Math J 66, 1414–1422 (2015). https://doi.org/10.1007/s11253-015-1020-5
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DOI: https://doi.org/10.1007/s11253-015-1020-5