Knot theory
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician's knot differs in that the ends are joined together so that it cannot be undone. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 (in topology, a circle isn't bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.
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Alexander-Briggs notationAlexander–Briggs notationAlgebraic topology based on knotsCrossing (knot theory)Hoste-Thistlethwaite knot tableHyperbolic invariantKnot TheoryKnot crossingKnot diagramKnot equivalenceKnot tableLink diagramNugatory crossingReducible crossingRemovable crossingRolfsen knot tableRolfsen notationTheory of knotsThistlethwaite link table
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Knot theory
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician's knot differs in that the ends are joined together so that it cannot be undone. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 (in topology, a circle isn't bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.
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Em topologia, a teoria dos nós ...... ela passe através de si mesma.
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In topology, knot theory is th ...... m-dimensional Euclidean space.
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Knopentheorie is een deelgebie ...... de eindjes zijn samengebonden.
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La teoria dei nodi è una branc ...... ologia della dimensione bassa.
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La teoría de nudos es la rama ...... espacios topológicos ambiente.
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La théorie des nœuds est une b ...... che de la théorie des tresses.
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Man nehme ein verknotetes Stüc ...... den -dimensionalen Raum für .
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Teoria węzłów to dział topolog ...... (nazwa od inicjałów autorów).
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Теория узлов — изучение вложен ...... вообще вложения многообразий.
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نظرية العقد (بالإنجليزية: Knot ...... ويه deformation ل R3 على نفسه.
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Em topologia, a teoria dos nós ...... ela passe através de si mesma.
@pt
In topology, knot theory is th ...... ing the string through itself.
@en
Knopentheorie is een deelgebie ...... de eindjes zijn samengebonden.
@nl
La teoria dei nodi è una branc ...... ologia della dimensione bassa.
@it
La teoría de nudos es la rama ...... l concepto matemático de nudo.
@es
La théorie des nœuds est une b ...... che de la théorie des tresses.
@fr
Man nehme ein verknotetes Stüc ...... den -dimensionalen Raum für .
@de
Teoria węzłów to dział topolog ...... kował węzłom pewne wielomiany.
@pl
Теория узлов — изучение вложен ...... вообще вложения многообразий.
@ru
نظرية العقد (بالإنجليزية: Knot ...... ويه deformation ل R3 على نفسه.
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label
Knopentheorie
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Knot theory
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Knotentheorie
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Teoria dei nodi
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Teoria dos nós
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Teoria węzłów
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Teoría de nudos
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Théorie des nœuds
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Теория узлов
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نظرية العقد (رياضيات)
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