A new definition of singular points in general relativity

To any space time a boundary is attached on which incomplete geodesics terminate as well as inextensible timelike curves of finite length and bounded acceleration. The construction is free ofad hoc assumptions concerning the topology of the boundary and the identification of curves defining the same boundary point. Moreover it is a direct generalization of the Cauchy completion of positive definite Riemannian spaces.Read on 15 May 1970 at the Gwatt Seminar on the Bearings of Topology upon General Relativity