Orbit class and its applications
Volume 245 / 2019
Fundamenta Mathematicae 245 (2019), 55-77
MSC: 55M30, 55M99.
DOI: 10.4064/fm551-4-2018
Published online: 26 October 2018
Abstract
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.