Author:
Feustel C. D.,Whitten Wilbur
Abstract
We investigate the extent to which knot groups determine knot manifolds and knot types. Let Ki(i = 1, 2) denote a tame knot in S3, let Ci denote a Ki-knot manifold, and assume that Π1(C1) ≈ Π1(C2). The first named author recently showed (in [6]) that, if C1 has no essential annulus, then C1 ≅ C2, and so K1 and K2 are equivalent, if K1 has property P.
Publisher
Canadian Mathematical Society
Cited by
19 articles.
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1. On the Question of Genericity of Hyperbolic Knots;International Mathematics Research Notices;2018-09-24
2. WEIGHT ELEMENTS OF THE KNOT GROUPS OF SOME THREE-STRAND PRETZEL KNOTS;Bulletin of the Australian Mathematical Society;2018-08-01
3. On minimality of two-bridge knots;International Journal of Mathematics;2017-03
4. 3-Manifold Groups;EMS SER LECT MATH;2015-08-20
5. On minimal elements for a partial order of prime knots;Topology and its Applications;2012-03