Discover Topology: A Categorical Approach, a graduate-level textbook from The Bookish Owl that reimagines point-set topology through the lens of category theory. This unique approach enhances understanding of fundamental topological concepts and builds a strong foundation for advanced mathematics. Ideal for graduate students with a background in analysis or topology, it delves into universal properties, connectedness, Hausdorff, and compactness. Explore categorical limits, colimits, adjunctions, and key ideas from homotopy theory. This essential resource, with end-of-chapter exercises, guides students toward tackling contemporary mathematical problems. Perfect for aspiring mathematicians seeking a modern perspective on topology.