Hopf fibration

The Hopf fibration is a mathematical construction that represents a particular way of decomposing certain spheres into circles. Named after Heinz Hopf, who introduced the concept in 1931, it provides a fascinating connection between topology, geometry, and algebra. Specifically, the Hopf fibration describes a fibration of the 3-sphere \( S^3 \) over the 2-sphere \( S^2 \) with the fibers being circles \( S^1 \).