Re: [math-fun] The moving now (was: Messages in pi)

I think the real numbers R can be characterized as the only connected topological space such that the removal of any point leaves just two connected components. But there may be another condition like, y'know, Hausdorffness or local compactness or homogeneity, that I'd rather not mention, necessary for this uniqueness.

It feels like the missing condition is second-countability, to remove counterexamples such as the Alexandroff line. -- APG.