Incompressible surfaces in knot spaces
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- by Herbert C. Lyon PDF
- Trans. Amer. Math. Soc. 157 (1971), 53-62 Request permission
Abstract:
The following theorems are proved. Theorem 1. There exist infinitely many distinct, prime, Neuwirth knots, each of which has the property that its complement contains closed, incompressible surfaces of arbitrarily high genus. Theorem 2. There exists a genus one knot which has incompressible spanning surfaces of arbitrarily high genus.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 157 (1971), 53-62
- MSC: Primary 55.20
- DOI: https://doi.org/10.1090/S0002-9947-1971-0275412-6
- MathSciNet review: 0275412