A Generalization of the Handle Addition Theorem

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1992Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 114, page 237 (issn: 0002-9939,

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Authors: Wu, Ying-Qing;

doi: 10.2307/2159806 , 10.1090/s0002-9939-1992-1070535-5

A Generalization of the Handle Addition Theorem

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Abstract

We will generalize Jaco’s Handle Addition Theorem to the n n -compressibility of surfaces on the boundary of 3 3 -manifolds. Several corollaries are given that show how the theorem can be applied to different situations.

Keywords

Topology of general \(3\)-manifolds, \(n\)-compressing disk, Knots and links in the \(3\)-sphere, \(n\)-compressibility of surfaces on the boundary of 3-manifolds, Jaco's Handle Addition Theorem

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