david20000813
david20000813
Let me note here that the $T_2$ assumption is necessary. The easiest counterexample I can think of can be described informally as follows: Take a zigzag shape stretching infinitely to...
> FYI, the zigzag poset you describe is the Khalimsky line. Mentioned among other places in the Honari-Bahrampour reference in https://topology.pi-base.org/properties/P000205/references. Would be good to have it in pi-base. @prabau...
@GeoffreySangston Great many thanks for searching through the literature for this! I suppose I'll have to reference Honari-Bahrampour then. (I was traveling and spending time with friends, so I just...
This does sound interesting. I agree with adding these. I do wonder, out of curiosity, since $\ell^2$ is homeomorphic to any infinite-dimensional separable Banach space, does this result holds for...
In that case I'll write a PR adding these homeomorphic spaces to the description.
Ah, I've checked the reference in the MO post. As I suspected, the result about closed unit ball and unit sphere works for all separable Banach spaces. The only issue...
@danflapjax Thanks!
I personally don’t have a strong preference either way, though I do find the list of aliases @GeoffreySangston is suggesting to be a reasonably good choice. Since this seems to...