2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205204It is shown that if a space-time has non-compact Cauchy surface, then its topological, differentiable, and causal structure are completely determined by a class of compact subsets of its Cauchy surface. Since causal structure determines its topological, differentiable, and conformal structure of space-time, this gives a natural way to encode the corresponding structures into its Cauchy surface.General Relativity and Quantum Cosmologytext