A TOPOLOGY WHICH DETERMINES THE DIFFERENTIAL AND CAUSAL STRUCTURE OF SPACE-TIME

It is obvious that the usual (Riemannian) topology on a spacetime has no natural relation with the (pseudo-Riemannian) metric of general (or special) relativity. Therefore, in order to overcome this disharmony, a new topology on a strongly causal space-time was proposed. The homeomorphism group of this topology is the conformal group of space-time and carries all information about the smooth structure of it. The topology is appealing and with physical interest. It thus seems that many calculation involving the structures of space-time may be made purely topological.