ABSTRACT
An investigation of the topology of time is an investigation of the topological properties of organized structure which the author has called the time system. He calls the topology ascribed to time via this picture the standard topology. Any time system in which the relation of being before defined on the set of instants obeys the following axioms will have the standard topology. Swinburne, for instance, writes: Time, being of logical necessity unique, one-dimensional and infinite, has of logical necessity a unique topology. This chapter investigates the possibility that time might be closed or cyclical. For the possession of a suitable axiomatization of Euclidean geometry prompted the investigation of the consequences of modifying those axioms. Swinburne writes: Time, being of logical necessity unique, one-dimensional and infinite, has of logical necessity a unique topology.
