A generalization of the lightbulb theorem and pl I-Equivalence of links
By the “lightbulb theorem” I mean the result that a knot of S1in S1Χ S2which meets some S2factor in a single transverse point is isotopic to an S1factor. We prove an analogous result for knots of Snin SnΧ S2, and apply it to answer a question of Rolfsen concerning PL I-equivalence of links. © 1986 American Mathematical Society.
Publication Source (Journal or Book title)
Proceedings of the American Mathematical Society
Litherland, R. (1986). A generalization of the lightbulb theorem and pl I-Equivalence of links. Proceedings of the American Mathematical Society, 98 (2), 353-358. https://doi.org/10.1090/S0002-9939-1986-0854046-2