Knots Theory

Knot theory is a branch of topology that studies mathematical knots—closed loops in three-dimensional space, like a shoelace tied without ends. It explores how these knots can be distinguished, classified, or transformed without cutting. By analyzing properties like crossings and twists, knot theory helps understand complex structures in sciences—from DNA strands and molecular molecules to braids and vortices. Its insights assist in solving problems related to entanglement and spatial relationships, providing a framework for understanding how objects can be intertwined, knotted, or untangled within a mathematical or physical context.