- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Some properties on spaces with noncompact group action Commun. Korean Math. Soc. 1997 Vol. 12, No. 3, 717-723 Hyang-Sook Lee, Dong-Sun Shin Ewha Women's University Abstract : The compact transformation group theory has been developed with lots of properties. Many properties which are satisfied on $G$-space for compact group $G$ do not hold for noncompact case. To recover some theory on spaces with noncompact group action we give some restriction on $G$-spaces. Hence we introduce Cartan $G$-spaces and proper $G$-spaces for our goal and we prove some properties on these $G$-spaces with noncompact $G$. Keywords : Cartan $G$-spaces, proper $G$-spaces, locally compact MSC numbers : 54H15, 57S99, 22D05 Downloads: Full-text PDF