👉 Onto math is a branch of mathematics that focuses on the study of sets and their properties, particularly through the lens of category theory. It emphasizes the relationships between mathematical structures rather than the structures themselves, using the concept of functors to translate problems from one category to another, often simpler one, to gain insights or solve problems. The core idea is "onto" because it seeks to map every object in the target category to an object in the source category, capturing the essence of what it means for a structure to be fully described or represented within another. This abstraction allows mathematicians to unify diverse areas of mathematics by revealing common patterns and structures, making it a powerful tool for understanding and connecting different mathematical domains.
