THE GORDIAN COMPLEX OF KNOTS
2002 ◽
Vol 11
(03)
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pp. 363-368
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In this paper, we define the Gordian complex of knots, which is a simplicial complex whose vertices consist of all oriented knot types in the 3-sphere. We show that for any knot K, there exists an infinite family of distinct knots containing K such that any pair (Ki, Kj) of the member of the family, the Gordian distance dG(Ki, Kj) = 1.
2020 ◽
Vol 29
(10)
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pp. 2042008
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2017 ◽
Vol 27
(05)
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pp. 477-493
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1987 ◽
Vol 62
(4)
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pp. 1356-1362
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2001 ◽
Vol 10
(01)
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pp. 97-107
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1933 ◽
Vol 29
(2)
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pp. 212-230
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2019 ◽
Vol 28
(11)
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pp. 1940003
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2006 ◽
Vol 15
(01)
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pp. 73-80
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