$G$-ANR's with homotopy trivial fixed point sets
Volume 197 / 2007
                    
                    
                        Fundamenta Mathematicae 197 (2007), 1-16                    
                                        
                        MSC: 54C55, 55P91.                    
                                        
                        DOI: 10.4064/fm197-0-1                    
                                    
                                                Abstract
Let $G$ be a compact group and $X$ a $G$-ANR. Then $X$ is a $G$-AR iff the $H$-fixed point set $X^H$ is homotopy trivial for each closed subgroup $H\subset G$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            