Abstract
Even though it is possible to prove that each Lie group, up to covering, is isomorphic to a linear Lie group of the type discussed in Part I, the natural setting for Lie groups is the category of smooth manifolds in which Lie groups can be viewed as the group objects. Thus we will use linear Lie groups rather as a source of examples and will start building the theory of Lie groups from scratch in Chapter 9 by defining them as groups which are smooth manifolds for which the group operations are smooth.
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