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Boundary links are self delta-equivalent to trivial links

Published online by Cambridge University Press:  01 September 2007

TETSUO SHIBUYA  and
AKIRA YASUHARA
TETSUO SHIBUYA
Affiliation:
Department of Mathematics, Osaka Institute of Technology, Omiya 5-16-1, Asahi, Osaka 535-8585, Japan. email: [email protected]
AKIRA YASUHARA
Affiliation:
Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan. email: [email protected]
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Abstract

Self Δ-equivalence is an equivalence relation for links, which is stronger than link-homotopy defined by J. W. Milnor. It was shown that any boundary link is link-homotopic to a trivial link by L. Cervantes and R. A. Fenn and by D. Dimovski independently. In this paper we will show that any boundary link is self Δ-equivalent to a trivial link.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 2 , September 2007 , pp. 449 - 458
Copyright
Copyright © Cambridge Philosophical Society 2007

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