  This paper regroups some of the basic properties of Lipschitz maps and their
flows. Many of the results presented here are classical in the case of smooth
maps. We prove them here in the Lipschitz case for a better understanding of
the Lipschitz geometry and for a quantification of the related properties,
which would be of use to the development of numerical methods for rough paths
for example. We also introduce the notion of almost Lipschitz maps, which
provide a sharper control and description of flows of Lipschitz vector fields
and local inverses of Lipschitz injective immersions
