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Bipartite knots

Sergei Duzhin, Mikhail Shkolnikov (2014)

Fundamenta Mathematicae

We give a solution to a part of Problem 1.60 in Kirby's list of open problems in topology, thus answering in the positive the question raised in 1987 by J. Przytycki.

Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara (2006)

Fundamenta Mathematicae

K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of C k -moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.

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