Fredholm map
Definition
A Fredholm map is a smooth map of Hilbert manifolds whose differential at every point is a bounded linear Fredholm operator. The index of the Fredholm map is defined as the index of any of these Fredholm operators.
A Fredholm map is a smooth map of Hilbert manifolds whose differential at every point is a bounded linear Fredholm operator. The index of the Fredholm map is defined as the index of any of these Fredholm operators.