HyperGeography and SuperHyperGeography

A Hyperstructure is built on the concept of the powerset, providing a framework to model interactions among elements of a set. Extending this concept, a Superhyperstructure employs the n-th powerset to represent hierarchical systems with multiple layers, enabling richer abstractions and more complex relationships. Geography is a mathematical framework on a 2D Riemannian manifold encoding regions, features, attributes, networks, and projections to analyze spatial relations. In this paper, we examine whether Hyperstructures and SuperHyperstructures can be employed to define HyperGeography and SuperHyperGeography, and we provide a concise discussion including potential applications.