generalization

noun5

1. •
   An act or instance of generalizing; concluding that something true of a subclass is true of the entire class.
2. •
   The formulation of general concepts from specific instances by abstracting common properties.
3. •
   Inductive reasoning from detailed facts to general principles.
4. •
   An oversimplified or exaggerated conception, opinion, or image of the members of a group.
5. •
   A proof, axiom, problem, or definition that includes another's cases, and also some additional cases; a conclusion reached by inferring from specific cases to more general cases or principles.

   • A hypersphere is a generalization of a sphere across more than three dimensions.