On the concept of orientability for Fredholm maps between real Banach manifolds, preprint

In [1] we introduced a new degree theory for a class of nonlinear Fredholm maps of index zero between open subsets of (real) Banach spaces (or, more generally, Banach manifolds) called oriented maps. This degree extends the theory given by Elworthy-Tromba in [3] and [4], it is developed starting from the Brouwer degree for map