Is the set of all piecewise linear (PL) knots is a good approximation of the set of all 1D smooth knots embedded in $\mathbb{R}^3$? Once I saw a theorem related to that but not able to find it now. Any help please?


I discovered in a draft of Dr. Kauffman that Reidemeister first discovered that for tame links, PL-equivalence = ambient isotopy (on page 2 of Kauffman's note). I would like to know the exact paper of Reidemeister.


This paper by Dr. Kauffman hints that the source might be Knotentheorie by K. REIDEMEISTER.


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