Cubical Sets

Cubical Sets are mathematical structures used to model spaces and their higher-dimensional relationships, similar to how shapes can have points, lines, surfaces, and volumes. Imagine building complex objects using cubes of various sizes connected along shared faces and edges. These structures help mathematicians study how spaces behave and transform in multiple dimensions, offering a flexible framework for understanding concepts in topology, algebra, and computer science. In essence, cubical sets provide a systematic way to organize multi-dimensional information and analyze how different parts relate and interact.