# SLICE THEOREM FOR SEMIALGEBRAICALLY PROPER ACTIONS

KIM, SANGWOOK;PARK, DAE HEUI

• Accepted : 2015.09.22
• Published : 2015.12.25
• 23 5

#### 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.

#### Keywords

noncompact;proper actions;semialgebraic;slice

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#### Acknowledgement

Supported by : Chonnam National University