I'm actually interested in the continuous case, for a non-trivial knot $S^1\rightarrow \mathbb{R}^3 $ is it true that the function $\sin(t)$ can not extend to a continuous function on $\mathbb{R}^3 $?
2025-01-12 23:51:07.1736725867
Is it true that Morse function on non-trivial knot has at least 4 critical points?
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