TopologyPure Mathematics
Topology is a branch of pure mathematics that deals with the properties of space that are preserved under continuous deformations, such as stretching, crumpling, and bending, but not tearing or gluing. It studies the concepts of continuity, compactness, connectedness, and convergence in various spaces, including Euclidean spaces, metric spaces, and abstract topological spaces. Topology is concerned with the study of spatial structures and the relationships between different geometric shapes and configurations.