Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SLICE THEOREM FOR SEMIALGEBRAICALLY PROPER ACTIONS

  • KIM, SANGWOOK (Department of Mathematics, Chonnam National University) ;
  • PARK, DAE HEUI (Department of Mathematics, Chonnam National University)
  • Received : 2015.07.06
  • Accepted : 2015.09.22
  • Published : 2015.12.25
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Abstract

Let G be a semialgebraic group which is not necessarily compact. Let X be a semialgebraically proper G-set such that the orbit space has a semialgebraic structure. In this paper we prove the existence of semialgebraic slices of X. Moreover X can be covered by finitely many semialgebraic G-tubes.

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References

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