I claim that it is commonly believed that Mathematical objects can be seen as genuinely static, with no "Platonic" time in which they do genuinely evolve.
Nevertheless time has its place in mathematics:
An endomorphism of a set (seen as a set of states of a system) into itself can be seen as evolution of the system in discrete time steps.
For a function of a totally ordered set into a set (seen as above) the ordered set can be seen as "time".
as the time-like component in Minkowski space
Questions (slightly modified after Qiaochu's comment and Vhailor's answer):
Which other constructs do give you a "time feeling" or give rise to "dynamic intuition"
admit a comparable straight-forward interpretation as "time"?
The examples above are set-theoretical ("concrete"). Is there a more abstract modelling of "time", maybe in category theory?