Characterization of tunnel number two knots which have the property “2 + 1 = 2”
نویسندگان
چکیده
منابع مشابه
On Ideals Which Have the Weakly Insertion of Factors Property
A one-sided ideal of a ring has the insertion of factors property (or simply, IFP) if implies r for . We say a one-sided ideal of has the weakly IFP if for each , implies , for some non-negative integer . We give some examples of ideals which have the weakly IFP but have not the IFP. Connections between ideals of which have the IFP and related ideals of some ring extensions a...
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We show that for any natural number n, there is a tunnel number one knot in S which is not (1, n).
متن کاملon ideals which have the weakly insertion of factors property
a one-sided ideal of a ring has the insertion of factors property (or simply, ifp) if implies r for . we say a one-sided ideal of has the weakly ifp if for each , implies , for some non-negative integer . we give some examples of ideals which have the weakly ifp but have not the ifp. connections between ideals of which have the ifp and related ideals of some ring extensions are also shown.
متن کاملOn the Growth Rate of Tunnel Number of Knots
Given a knot K in a closed orientable manifold M we define the growth rate of the tunnel number of K to be grt(K) = lim supn→∞ t(nK)−nt(K) n−1 . As our main result we prove that the Heegaard genus of M is strictly less than the Heegaard genus of the knot exterior if and only if the growth rate is less than 1. In particular this shows that a non-trivial knot in S is never asymptotically super ad...
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The tunnel number of a knot is an important invariant. It is defined to be the minimal number of disjoint properly embedded arcs in the knot’s exterior, such that drilling out these arcs creates a handlebody. Equivalently, it is the Heegaard genus of the knot exterior minus one. However, like many other interesting knot invariants, it is hard to compute in practice. The purpose of this paper is...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1995
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)00096-l