Hopf Map
The first example discovered of a Map from a higher-dimensional Sphere to a lower-dimensional Spherewhich is not null-Homotopic. Its discovery was a shock to the mathematical community, since it wasbelieved at the time that all such maps were null-Homotopic, by analogy with HomologyGroups. The Hopf map takes points (
, 
, 
, 
) on a 3-sphere to points on a 2-sphere(
, 
, 
)
Every point on the two Spheres corresponds to a Circle called the Hopf Circle on the 3-Sphere.
- Stabilization
- Stable Equivalence
- Stable Improper Node
- Stable Node
- Stable Spiral Point
- Stable Star
- Stable Type
- Stack
- Stamp Folding
- Standard Deviation
- Standard Error
- Standardized Moment
- Standardized Score
- Standard Map
- Standard Normal Distribution
- Standard Space
- Standard Tori
- Stanley's Theorem
- Star
- Star Figure
- Star (Fixed Point)
- Star Fractal
- Star Graph
- Star Number
- Star of David