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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:canBe
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gptkb:knot
gptkb:composite_knot
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gptkbp:classificationProblem
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classify all knots up to ambient isotopy
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gptkbp:defines
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embedding of a circle in 3-dimensional Euclidean space
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gptkbp:dimensions
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3
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gptkbp:example
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gptkb:unknot
gptkb:trefoil_knot
figure-eight knot
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gptkbp:field
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gptkb:topology
knot theory
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gptkbp:hasApplication
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gptkb:DNA_topology
biology
chemistry
physics
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gptkbp:hasCrossingNumber
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minimum number of crossings in a diagram
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gptkbp:hasDiagramType
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knot diagram
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gptkbp:hasInvariant
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gptkb:knot
gptkb:Jones_polynomial
gptkb:Alexander_polynomial
knot genus
unknotting number
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gptkbp:hasProperty
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gptkb:unknot
gptkb:trivial_knot
gptkb:mutant
gptkb:Dehn_surgery
gptkb:genus
gptkb:knot
gptkb:Conway_polynomial
gptkb:Jones_polynomial
gptkb:HOMFLY_polynomial
gptkb:Seifert_matrix
gptkb:Gauss_code
gptkb:Alexander_polynomial
gptkb:Reidemeister_move
gptkb:Dowker_notation
gptkb:Seifert_surface
gptkb:Montesinos_knot
gptkb:composite_knot
gptkb:knot_complement
invertibility
cabling
chirality
satellite operation
crossing number
tangle
alternating knot
bridge number
fibered knot
hyperbolic knot
knot sum
nonalternating knot
planar diagram
pretzel knot
rational knot
ribbon knot
satellite knot
slice knot
colorability
nontrivial knot
amphichirality
arc index
arc presentation
braid representation
bridge index
bridge presentation
negative knot
periodic knot
positive knot
stick number
strongly invertible knot
superbridge number
tricolorability
tunnel number
unknotting number
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gptkbp:hasTable
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Rolfsen knot table
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gptkbp:isEquivalentIf
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can be transformed into each other by ambient isotopy
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gptkbp:operator
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reversal
mirror image
connected sum
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gptkbp:relatedTo
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gptkb:link_(mathematics)
gptkb:braid_(mathematics)
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gptkbp:studiedBy
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gptkb:Peter_Guthrie_Tait
gptkb:Lord_Kelvin
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gptkbp:studiedIn
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knot theory
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gptkbp:type
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closed curve
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gptkbp:bfsParent
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gptkb:Link_(mathematics)
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gptkbp:bfsLayer
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8
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https://www.w3.org/2000/01/rdf-schema#label
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knot (mathematics)
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