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Oct 4, 2016 at 1:31 comment added ThiKu Why don't you write this up as an answer?
Oct 3, 2016 at 20:41 comment added Ronnie Brown If you look at the knot diagram from above and imagine a loop beneath it and circling it, then the loop is contractible in the space less the knot, but from above in this contraction the loop goes through each crossing. That is how I see it. A more formal proof is probably better using groupoids, but that is not to general taste.
Oct 3, 2016 at 14:52 comment added ThiKu There is nothing unclear about this question. Every crossing of a knot diagram yields one relation for the Wirtinger presentation of the knot group. It seems that one of these relations is redundant and thus can be omitted from the presentation, and the question is asking why.
Oct 3, 2016 at 12:47 history closed Neil Strickland
Stefan Waldmann
Franz Lemmermeyer
Stefan Kohl
Alex Degtyarev
Needs details or clarity
Oct 3, 2016 at 11:48 review Close votes
Oct 3, 2016 at 12:47
Oct 3, 2016 at 6:37 review First posts
Oct 3, 2016 at 6:41
Oct 3, 2016 at 6:35 history asked user99231 CC BY-SA 3.0