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Links with super-additive tunnel number
Published online by Cambridge University Press: 24 October 2008
Extract
Let L ⊂ S3 be a knot or a link. A tunnel system for L is a collection of disjoint arcs t1, … ts properly embedded in S3−N(L) so that is a handlebody. Alternatively one can view the t1, … ts ascocores of 2-handles which have to be attached to a handlebody in order to obtain S3−N(L). It follows immediately that this handlebody is of genus s+1. The tunnel number of L, denoted by t(L), is defined to be the minimal cardinality of all such collections.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 1 , January 1994 , pp. 85 - 95
- Copyright
- Copyright © Cambridge Philosophical Society 1994