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.
- Mean Run Density
- Mean Square Error
- Mean-Value Theorem
- Measurable Function
- Measurable Set
- Measurable Space
- Measure
- Measure Algebra
- Measure Polytope
- Measure-Preserving Transformation
- Measure Space
- Measure Theory
- Mechanical Quadrature
- Mecon
- Medial Axis
- Medial Deltoidal Hexecontahedron
- Medial Disdyakis Triacontahedron
- Medial Hexagonal Hexecontahedron
- Medial Icosacronic Hexecontahedron
- Medial Inverted Pentagonal Hexecontahedron
- Medial Pentagonal Hexecontahedron
- Medial Rhombic Triacontahedron
- Medial Triambic Icosahedron
- Medial Triangle
- Medial Triangle Locus Theorem