Categorical Topology
Categorical topology applies category theory to the study of topological spaces, focusing on morphisms (continuous maps) rather than points. It provides a powerful, abstract framework for understanding and generalizing topological concepts like limits, colimits, and adjunctions, with applications in various areas like domain theory and computer science.
"What is Categorical Topology?: Categorical topology is a branch of topology that studies topological structures and their relationships using the language and tools of category theory. Inste...