%0 Journal Article %T A Quotient Restriction Theorem for actions of real reductive groups %A Henrik Stoetzel %J Mathematics %D 2008 %I arXiv %X We prove a version of the Chevalley Restriction Theorem for the action of a real reductive group G on a topological space X which locally embeds into a holomorphic representation. Assuming that there exists an appropriate quotient X//G for the G-action, we introduce a stratification which is defined with respect to orbit types of closed orbits. Our main result is a description of the quotient X//G in terms of quotients by normalizer subgroups associated to the stratification. %U http://arxiv.org/abs/0811.4273v1