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https://hdl.handle.net/10316/44381| Title: | Tunnel number degeneration under the connected sum of prime knots | Authors: | Nogueira, João Miguel | Issue Date: | 2013 | Publisher: | Elsevier | Project: | PEst-C/MAT/UI0324/2011 | Serial title, monograph or event: | Topology and its Applications | Volume: | 160 | Issue: | 9 | Abstract: | We study 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 more than one. | URI: | https://hdl.handle.net/10316/44381 | DOI: | 10.1016/j.topol.2013.03.010 10.1016/j.topol.2013.03.010 |
Rights: | embargoedAccess |
| Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| tunel_number_degeneration_prime_knots.pdf | 955.76 kB | Adobe PDF | View/Open |
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