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Bounded, separating, incompressible surfaces in knot manifolds

โœ Scribed by M. Culler; P. B. Shalen

Book ID
105174140
Publisher
Springer-Verlag
Year
1984
Tongue
English
Weight
570 KB
Volume
75
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES

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In this paper, we deal with incompressible pairwise incompressible surfaces in almost alternating knot complements. We show that the genus of a surface in an almost alternating knot exterior equals zero if there are two, four or six boundary components in the surface.

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โœ Mario Eudave-Muรฑoz ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 305 KB

A knot k in S 3 has tunnel number one, if there exist an arc ฯ„ embedded in S 3 , with k โˆฉ ฯ„ = โˆ‚ฯ„ , such that S 3int N(k โˆช ฯ„ ) is a genus 2 handlebody. In this paper we construct for each integer g 2, infinitely many tunnel number one knots, whose complement contain a closed incompressible surface o