A generalization of the handle addition theorem

Wu, Ying Qing

doi:10.1090/S0002-9939-1992-1070535-5

A generalization of the handle addition theorem
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by Ying Qing Wu

Proc. Amer. Math. Soc. 114 (1992), 237-242

DOI: https://doi.org/10.1090/S0002-9939-1992-1070535-5

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Abstract:

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

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Outermost forks and a theorem of Jaco

Incompressibility of surfaces in surgered

-manifolds