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Nov 7, 2016 at 23:08 comment added Grisha Papayanov That is probably my fault, because my question should have been saying "variety" or a "space" instead of a "manifold"
Nov 7, 2016 at 15:49 comment added Todd Trimble No need for "sorry" -- thanks very much!
Nov 7, 2016 at 15:39 comment added nfdc23 @ToddTrimble: I have done some rewriting to clear up the points that you mention (so now your comments refer to text that no longer exists; sorry!).
Nov 7, 2016 at 15:38 history edited nfdc23 CC BY-SA 3.0
clarified some points about the contrast of affirmative and negative results
Nov 7, 2016 at 14:07 comment added Todd Trimble @DenisNardin Ah, thank you Denis. On closer reading, that does indeed seem to be what's going on.
Nov 7, 2016 at 13:37 comment added Denis Nardin @ToddTrimble I am not an expert either, but I think that the difference is between real analytic manifolds (that is, locally like $\mathbb{R}^n$) and real analytic sets (that is locally like the zero locus of finitely many real analytic functions).
Nov 7, 2016 at 12:59 comment added Todd Trimble Sorry for my confusion; this is more or less out of my ken. But reading on the surface, I'm having trouble reconciling the first sentence of the first paragraph with the opening of the second paragraph. (I am not doubting the authority or expertise with which the answer is written.) Does coherence hold, or does it fail?
Nov 7, 2016 at 4:09 history edited nfdc23 CC BY-SA 3.0
Fixed some minor typos
Nov 7, 2016 at 3:44 vote accept Grisha Papayanov
S Nov 7, 2016 at 3:05 history answered nfdc23 CC BY-SA 3.0
S Nov 7, 2016 at 3:05 history made wiki Post Made Community Wiki by nfdc23