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On the degeneration ratio of tunnel numbers and free tangle
decompositions of knots
Kanji Morimoto
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Geometry & Topology Monographs 12
(2007) 265–275
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Abstract
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In this paper, we introduce a notion called n/k–free
tangle and study the degeneration ratio of tunnel numbers of knots.
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Keywords
knots, tunnel numbers,
n⁄k–free tangles
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Mathematical Subject Classification
Primary: 57M25, 57N10
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Publication
Received: 5 December 2005
Revised: 14 July 2006
Accepted: 16 July 2006
Published: 3 December 2007
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