Department of Mathematical Sciences


Mathematics is categorical when the study of given mathematical structures is carried out by an analysis of the behavior of structure preserving maps. This approach has many important applications in different areas of modern mathematics, especially those dealing with the study of abstract structures, and at the same time, it leads to a new foundation of mathematics where maps are taken as the basic objects, rather than sets. Category Theory develops and studies general theories arising from the categorical approach to mathematics.

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Product diagram from Mac Lane's "Duality for Groups"