2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122847The tomographic histories approach is presented. As an inverse problem, we recover in an operational way the effective topology of the extended configuration space of a system. This means that from a series of experiments we get a set of points corresponding to events. The difference between effective and actual topology is drawn. We deduce the topology of the extended configuration space of a non-relativistic system, using certain concepts from the consistent histories approach to Quantum Mechanics, such as the notion of a record. A few remarks about the case of a relativistic system, preparing the ground for a forthcoming paper sequel to this, are made in the end.19 pages, slight chang in title and corrected typos in second version. To appear to a special proceedings issue (Glafka 2004) of the International Journal of Theoretical PhysicsGeneral Relativity and Quantum Cosmologytext