Regular value
From Diffgeom
Definition
Symbol-free definition
Given a smooth map of differential manifolds, a point in the image manifold is termed a regular value for the smooth map if every point in its inverse image is a regular point, i.e. if the map from the tangent space at any point in the inverse image, is surjective.
Note that any point whose inverse image is empty, is by definition a regular value.
Definition with symbols
Let be a smooth map of differential manifolds. A point
is termed a regular value of
if for every
, the induced map
, is surjective.