Strong projective limit of Banach Lie algebroids

Abstract

We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fre ´chet bundles and the compatibility with the di¤erent morphisms. This kind of structures seems to be a convenient framework for various situations.

Fréchet Lie algebroids and their cohomology

“…In particular, the concept of Lie algebroid was generalized to the category of Banach vector bundles in [1,6]. Lie algebroids were also defined on Projective limits of Banach Manifolds [3].…”