Closed incompressible surfaces in the complements of positive knots |
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| Authors: | M Ozawa |
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| Institution: | (1) Waseda University, School of Education, Department of Mathematics, Nishiwaseda 1-6-1, Shinjuku-ku, Tokyo 169-8050, Japan, e-mail: ozawa@musubime.com , JP |
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| Abstract: | We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot,
positive knots cannot bound non-free incompressible Seifert surfaces and that the splittability and the primeness of positive
knots and links can be seen from their positive diagrams.
Received: June 28, 2000 |
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| Keywords: | , Positive knot, closed incompressible surface, order, free Seifert surface, splittability, primeness, |
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