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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Format: | Others |
Language: | English |
Published: |
2012
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Online Access: | http://hdl.handle.net/2152/ETD-UT-2011-12-4617 |