 Questions about the topology of time appear to be closely connected to the issue of Platonism versus relationism with respect to time. For if relationism is true, then it seems likely that time’s topological features will depend on contingent facts about the relations among things and events in the world, whereas if Platonism is true, so that time exists independently of whatever is in time, then time will presumably have its topological properties as a matter of necessity. But even if we assume that Platonism is true, it’s not clear exactly what topological properties should be attributed to time.