Mathematics – Geometric Topology
Scientific paper
2005-10-21
Mathematics
Geometric Topology
11 pages, 6 figures
Scientific paper
We prove that if n\ge1, then an (n+1)-component Brunnian link L in a
connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove
that if n\ge2, then L can not be distinguished from an unlink by any
Goussarov-Vassiliev finite type invariant of degree<2n.
Habiro Kazuo
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