A note on the topology of space–time in special relativity

We show that a topology can be defined in the four-dimensional space–time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space–time elements as well as the key properties of special relativity are still the same as in the standard theory. However, the new topological structure allows the possibility of an intrinsic asymmetry in the time evolution of physical systems.