Topology

Topology is the study of shapes and spaces that are preserved under continuous deformations, like stretching, bending, or twisting, but not tearing or gluing. It focuses on properties that remain unchanged even when the shape is transformed in these ways. Key Characteristics / Core Concepts Continuity: Topology emphasizes continuous transformations; properties remain consistent across these … Read more

Geometry

Geometry is the branch of mathematics that deals with the size, shape, and position of two-dimensional shapes and three-dimensional objects. It explores concepts like points, lines, angles, surfaces, and solids, and the relationships between them. Geometry forms the basis of many fields including architecture and engineering. Key Characteristics / Core Concepts Points: Locations in space … Read more