This is a follow up to my previous question.

**Question:**

*Is there a reasonably natural set of conditions which guarantee that the one-point
compactification $X^+$ of a locally compact Hausdorff space $X$ is well-pointed?*

(Where, of course, the basepoint I'm referring to is the point at $\infty$.)

directlyapplicable). $\endgroup$ – Ricardo Andrade Jul 31 '13 at 22:51notforward tame. $\endgroup$ – Ricardo Andrade Aug 2 '13 at 2:06