On tunnel number degeneration and 2-string free tangle decompositions

This dissertation is on a study of 2-string free tangle decompositions of knots with tunnel number two. As an application, we construct infinitely many counter-examples to a conjecture in the literature stating that the tunnel number of the connected sum of prime knots doesn't degenerate by mor...

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Bibliographic Details
Main Author: Nogueira, João Miguel Dias Ferreira
Format: Others
Language:English
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/2152/ETD-UT-2011-12-4617