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논문KCI 등재

Knots with arbitrarily high distance bridge decompositions

Kazuhiro Ichihara|Toshio Saito
대한수학회 (The Korean Mathematical Society)|2013.11|대한수학회보 (Bulletin of the KMS)|제50권 제6호|pp. 1989-2000

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참고문헌

키워드

distanceknotHeegaard splittingbridge decomposition
주제분류수학

초록

We show that for any given closed orientable 3-manifold M with a Heegaard surface of genus g, any positive integers b and n, there exists a knot K in M which admits a (g; b)-bridge splitting of distance greater than n with respect to the Heegaard surface except for (g; b) = (0; 1); (0; 2).

Abstract

We show that for any given closed orientable 3-manifold M with a Heegaard surface of genus g, any positive integers b and n, there exists a knot K in M which admits a (g; b)-bridge splitting of distance greater than n with respect to the Heegaard surface except for (g; b) = (0; 1); (0; 2).

참고문헌 (26)

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