Topology and Geometry

Topology and Geometry explore the properties of space, shape, and dimensions, fundamentally linking concepts of continuity, compactness, and connectedness. This category dissects various sub-fields, including differential geometry, which integrates calculus to study curves and surfaces, and algebraic topology, which uses algebraic methods to investigate topological spaces. The insights gained herein have profound implications in theoretical physics, particularly in the understanding of spacetime and general relativity.