Abstract
Applying Jaco's Handle Addition Lemma, we give a condition for a $3$-manifold to have an incompressible boundary. As an application, we show that the boundary of the exterior of a minimally knotted planar graph is incompressible.
Citation
Makoto OZAWA. Yukihiro TSUTSUMI. "Minimally Knotted Spatial Graphs are Totally Knotted." Tokyo J. Math. 26 (2) 413 - 421, December 2003. https://doi.org/10.3836/tjm/1244208599
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