Equivariant map

An equivariant map is a concept that arises in various areas of mathematics, particularly in the study of group actions on sets, geometric objects, and structures in algebra and topology. Formally, let \( G \) be a group acting on two spaces \( X \) and \( Y \). A map \( f: X \to Y \) is said to be equivariant with respect to the group action if it respects the action of the group.