The crossing number of composite knots
نویسندگان
چکیده
منابع مشابه
The Crossing Number of Composite Knots
One of the most basic questions in knot theory remains unresolved: is crossing number additive under connected sum? In other words, does the equality c(K1♯K2) = c(K1) + c(K2) always hold, where c(K) denotes the crossing number of a knot K and K1♯K2 is the connected sum of two (oriented) knots K1 and K2? The inequality c(K1♯K2) ≤ c(K1) + c(K2) is trivial, but very little more is known in general...
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2009
ISSN: 1753-8416
DOI: 10.1112/jtopol/jtp028