Untitled edit

Can you expand a bit on this?

Zero set of a smooth function: Name/Reference edit

The part on differential geometry contains the sentence "An unrelated but important result in analysis and geometry states that any closed subset of Rn is the zero set of a smooth function". Does this theorem have a name? Is there any reference describing this theorem? Nahabedere (talk) 13:09, 22 February 2016 (UTC)Reply

Assessment comment edit

The comment(s) below were originally left at Talk:Zero set/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

This should be expanded to include zero sets of polynomials, smooth maps etc. etc. Geometry guy 18:19, 2 June 2007 (UTC)Reply

Last edited at 18:19, 2 June 2007 (UTC). Substituted at 02:42, 5 May 2016 (UTC)