Category theory

• Do Finite-Dimensional Vector Spaces Have Limits?
  Finite-dimensional vector spaces have all finite limits: products are direct sums and equalizers are kernels. Infinite limits may leave the category.
• What Are the Real-World Applications of Category and Topos Theory?
  Category theory helps model composable systems and data; topos theory supports sheaf-based geometry, logic, and foundational research, including quantum theory.