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Siddharthist (talk | contribs) Ask about open subsets in the ___domain |
Siddharthist (talk | contribs) Ask about the section on the ___domain |
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The end of the lead section says that the ___domain of a function of several real variables is "supposed to contain an [[Open set|open]] subset of ℝ<sup>''n''</sup>". I understand why the ___domain of some kind of ''sensible'' functions might contain an open subset, but the following is a perfectly valid function of several real variables: <math>f:\{(0,0)\}\to \{\emptyset\}</math> where <math>f(0,0)=\emptyset</math>. Could someone add a citation or clarify the language? Thanks, and sorry if I'm misunderstanding! [[User:Siddharthist|siddharthist]] ([[User talk:Siddharthist|talk]]) 21:14, 23 November 2017 (UTC)
== Section on the ___domain ==
The section [[Function of several real variables#Domain|Domain]] is somewhat questionable... It claims that it might be difficult to specify the ___domain of a function one is defining, which seems backwards. I don't believe that one ''can'' define a function without specifying its ___domain. It is also unreferenced. Can anyone support its claims, or should we remove it? [[User:Siddharthist|siddharthist]] ([[User talk:Siddharthist|talk]]) 21:25, 23 November 2017 (UTC)
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