Whitehead categories

Whitehead categories are mathematical tools used to analyze and organize complex structures, such as spaces or collections, by examining the relationships and transformations between their parts. They focus on understanding how smaller pieces connect and interact within a larger system. In essence, these categories help mathematicians track how objects relate through functions or maps, enabling a deeper understanding of the underlying structure and properties. They are fundamental in fields like algebraic topology and category theory, providing a framework to study continuity, symmetry, and higher-level relationships in a rigorous and systematic way.