ABSTRACT
Later it will be necessary to consider ("simultaneously") the set of all tangent vectors at all the manifold points. So, simply speaking, we are going to introduce a manifold with a vector space attached to each point p,q, ... and that will be called: "tangent bundle." Such a situation can easily be schematized in the case ofa one-dimensional manifold MI. In Fig. 32, it must be understood that the lines TpM, T,f1 ... are boundless.
