ABSTRACT

Provide M with a topology by considering that every point of M belongs at least to an open Ut ofM (covering!).

1.1.1 Chart

D A local chart on M is the pair (Ut, rp) consisting of: - an open Ut ofM, e a homeomorphism rp of Ut onto an open subset rp(Ut) ofF. The open U; is called domain ofthe chart 1.