1. Background and notation 2. Approximation to a micro-representation 3. The change of variable, sewing and patching theorems 4. Topological types 5. A decomposition theorem for certain limits of parametric surfaces 6. The representation of a connected rimless generalized surface of finite type 7. An application 8. Representation of a connected generalized surface of finite topological type whose rims are 2-dimensionally thin 9. Existence of continuous variational solutions 10. A combinatorial problem