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 .
- h-Cobordism
- h-Cobordism Theorem
- Heads Minus Tails Distribution
- Heap
- Heapsort
- Heart Surface
- Heat Conduction Equation
- Heat Conduction Equation--Disk
- Heaviside Calculus
- Heaviside Step Function
- Heawood Conjecture
- Hebesphenomegacorona
- Hecke Algebra
- Hecke L-Function
- Hecke Operator
- Hecke Ring
- Hectogon
- Hedgehog
- Heegaard Diagram
- Heegaard Splitting
- Heegner Number
- Heesch Number
- Heesch's Problem
- Height
- Heilbronn Triangle Problem