Orbit class and its applications
Tom 245 / 2019
                    
                    
                        Fundamenta Mathematicae 245 (2019), 55-77                    
                                        
                        MSC: 55M30, 55M99.                    
                                        
                        DOI: 10.4064/fm551-4-2018                    
                                            
                            Opublikowany online: 26 October 2018                        
                                    
                                                Streszczenie
We introduce the concepts of orbit class, orbit diagram and orbital spaces, and study their properties. Then we apply the results on orbit classes to study equivariant and invariant topological complexity, as well as to give some lower and upper bounds for the equivariant LS-category and $A$-$G$-LS-category.