Lift
Given a Map 
from a Space 
to a Space 
and another Map 
from a Space 
to a Space , a lift is a Map 
from to such that 
. In other words, a lift of isa Map such that the diagram (shown below) commutes.
If is the identity from to , a Manifold, and if is the bundle projection from the Tangent Bundle to, the lifts are precisely Vector Fields. If is a bundle projection from any Fiber Bundleto , then lifts are precisely sections. If is the identity from to , a Manifold, and a projection fromthe orientation double cover of , then lifts exist Iff is an orientable Manifold.
If is a Map from a Circle to , an 
-Manifold, and the bundle projection from the FiberBundle of alternating k-Form on , then lifts always exist Iff is orientable. If is aMap from a region in the Complex Plane to the Complex Plane (complex analytic), and if is theexponential Map, lifts of are precisely Logarithms of .
- 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
- Median Point
- Median (Statistics)
- Mediant
- Median (Triangle)
- Mega
- Megistron
- Mehler-Dirichlet Integral
- Mehler Quadrature