Ukrainian Mathematical Journal

, Volume 66, Issue 9, pp 1414–1422 | Cite as

A Note on Semialgebraically Proper Maps

  • D. H. Park

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.


Compact Subset Open Neighborhood Closed Subset Canonical Projection Isotropy Subgroup 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • D. H. Park
    • 1
  1. 1.College of Natural SciencesChonnam National UniversityGwangjuKorea

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