Baker, Kenneth L.Hoffman, Neil R.2022-11-072022-11-072021-01-28Baker, K.L., Hoffman, N.R. (2021). Exceptional surgeries in 3-manifolds.https://hdl.handle.net/20.500.14446/336601Myers shows that every compact, connected, orientable 3--manifold with no 2--sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every 3--manifold subject to the above conditions contains a hyperbolic knot which admits a non-trivial non-hyperbolic surgery, a toroidal surgery in particular. We conclude with a question and a conjecture about reducible surgeries.application/pdfThis material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information.2022-10-26Preprintmath.GT: Geometric TopologyORCID: 0000-0003-0662-3244 (Hoffman, Neil R)ScopusID: 16642919400 (Hoffman, Neil R)