SLICE THEOREM FOR SEMIALGEBRAICALLY PROPER ACTIONS

SANGWOOK KIM, DAE HEUI PARK
2015 Honam Mathematical Journal  
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.
doi:10.5831/hmj.2015.37.4.431 fatcat:n7u7fbuyc5dmjniyjcbqqb3hpa