This thesis describes the construction of the so called path bundle. The starting point of the construction is a principal fiber bundle of finite dimensional manifolds. Next one considers the spaces of all mappings from a compact interval I into the base space and the total space of the bundle. These spaces are manifolds modelled over convenient vector spaces and are called manifolds of paths. Together with the Lie group of all paths in the structure group of the finite dimensional principal fiber bundle, one constructs a principal fiber bundle where the base and total spaces are infinite...