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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

7 votes
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527 views

how wiggly is a generic level set?

Typical level sets of smooth real-valued functions are manifolds, so they cannot be fractals. If we coarse grain a bit though, sometimes we get space-filling behavior, eg. every point could be within …
lostinloops's user avatar