A generalization of the lightbulb theorem and pl I-Equivalence of links

Document Type

Article

Publication Date

1-1-1986

Abstract

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

First Page

353

Last Page

358

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