Sc-smoothness, retractions and new models for smooth spaces
Sc-smoothness, retractions and new models for smooth spaces
We present the concept of sc-smoothness for Banach spaces, which leads to new models of spaces having locally varying dimensions called M-polyfolds. We present detailed proofs of the technical results needed for the applications, in particular, to the Symplectic Field Theory. We also outline a very general Fredholm theory for …