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I'm looking for a name to describe the points of the same value of a periodic function -- you draw a horizontal line across a periodic function and you get a set of values.

That is, a name for _all $x$ points where $\sin(x)=0$, for example. That would be the set of points $x=n\pi, n \in \mathbb{I}$. But is there a name to describe this set -- e.g. all the "isopoints" of $\sin(x)$ for a given value of $\sin(x)$?

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I think the only name is just the fiber (or levelset or preimage of a point).

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  • $\begingroup$ Another name I have encountered is "level set" (at least for real-valued functions). $\endgroup$ – Daniel Fischer Jul 1 '13 at 15:50
  • $\begingroup$ @DanielFischer i'm silly, i didn't actually read the wiki page except enough to verify that it was the right one, and it lists level set and preimage as other names $\endgroup$ – citedcorpse Jul 1 '13 at 15:52

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