Knots with Infinitely Many Incompressible Seifert Surfaces
نویسندگان
چکیده
We show that a knot in S with an infinite number of incompressible Seifert surfaces contains a closed incompressible surface in its complement.
منابع مشابه
Closed Incompressible Surfaces in the Complements of Positive Knots
We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splittability and the primeness of positive knots and links can be seen from their positive diagrams.
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