31 May
2014
31 May
'14
6:57 a.m.
On Fri, May 30, 2014 at 4:28 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
In answer to Andy: it shouldn't matter which compactification is used --- so long as we don't forget about the necessity. "Or some other ..." --- trick question? There aren't any others!
Not true; the Stone-Cech compactification is much, much, larger than RP2. Or without using such heavy machinery, consider the sequences (0,n) and (1, n). In a compactification, they each have to have a convergent subsequence. But there's no reason that these two convergent subsequences have to converge to the same point, as they do in the two compactifications you mention. Andy _____________