Equivariant dimensions of groups with operators
Equivariant dimensions of groups with operators
Let \pi be a group equipped with an action of a second group G by automorphisms. We define the equivariant cohomological dimension \mathsf{cd}_G(\pi) , the equivariant geometric dimension \mathsf{cat}_G(\pi) , and the equivariant Lusternik–Schnirelmann category \mathsf{gd}_G(\pi) in terms of the Bredon dimensions and classifying space of the family of subgroups …