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Jan 10, 2011 at 14:04 history edited Jim Conant CC BY-SA 2.5
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Jan 10, 2011 at 13:40 comment added Daniel Moskovich I stand corrected. It didn't make it into the original edition of Knotentheorie, but was proved 6 years earlier by Reidemeister (1926), and independently by Alexander and Briggs (1927), as I found by nosing around in the math library this morning. All details are there, including general position arguments. Wikipedia, to my surprise, is entirely accurate: en.wikipedia.org/wiki/Reidemeister_move
Jan 10, 2011 at 1:20 comment added Jim Conant Actually, Reidemeister's "Knotentheorie" is my source for this, but it is somewhat dimly recalled.
Jan 10, 2011 at 0:52 comment added Daniel Moskovich Are you sure? I think Reidemeister did prove it in Knottentheorie (1932), entirely combinatorially. There is a "general position" issue, which is an issue for all of PL topology- but it's no harder for the Reidemeister Theorem than anywhere else. See mathoverflow.net/questions/15217/…
Jan 9, 2011 at 22:57 history answered Jim Conant CC BY-SA 2.5