Manifolds And Local Structures: A General Theory

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable ''elementary spaces'', by means of partial homeomorphisms that fix the gluing conditions and form a sort of ''intrinsic atlas'', instead of the more usual system of charts living in an external framework.An ''intrinsic manifold'' is defined here as ...