Pullback Map
A pullback is a general Categorical operation appearing in a number of mathematical contexts, sometimesgoing under a different name. If 
is a linear transformation between Vector Spaces,then 
(usually called Transpose Map or Dual Map because its associated matrix is theMatrix Transpose of 
) is an example of a pullback map.
In the case of a Diffeomorphism and Differentiable Manifold, a very explicit definition can be formulated.Given an 
-form 
on a Manifold 
, define the -form 
on 
by its action on an -tupleof tangent vectors 
as the number 
. Thisdefines a map on -forms and is the pullback map.
- Probable Error
- Probable Prime
- Problem
- Procedure
- Proclus' Axiom
- Procrustian Stretch
- Product
- Product Formula
- Product-Moment Coefficient of Correlation
- Product Neighborhood
- Product Rule
- Product Space
- Program
- Projection
- Projection Operator
- Projective Collineation
- Projective General Linear Group
- Projective General Orthogonal Group
- Projective General Unitary Group
- Projective Geometry
- Projective Plane
- Projective Plane PK2
- Projective Space
- Projective Special Linear Group
- Projective Special Orthogonal Group