>>13855421>>13855636Not OP, but mathematically speaking, it's a perfectly meaningful question, if we're talking about the topological properties of some time parameter within a theoretical framework.
I'm not a physics fag, so I can't say much about the shape of time withing respect to some sort of relativistic or quantum mechanical model, but speaking of basic differential equations, in many cases, we assume t is is the interval (0, inifinity), so it would be homeomorphic to a ray. A lot of models describe periodic phenomenon, so I guess you could think of a time as homeomorphic to either SO(2) or some cyclic group Zn, depending on whether the phenomenon is in discrete or continuous time. I think in physics there a some abstract models models of time that involve partial orders, so then you would have something like an infinite branching tree.
