Teorija čvorova — разлика између измена

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[[File:Tabela de nós matemáticos 01, crop.jpg|thumb|250px|Examples of different knots including the [[trivial knot]] (top left) and (below it) the [[trefoil knot]]]]
[[File:TrefoilKnot 01.svg|thumb|250px|A knot diagram of the trefoil knot, the simplest non-trivial knot]]
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U [[topologija|topologiji]], '''teorija čvorova''' je studija of [[knot (mathematics)|mathematical knot]]s. While inspired by [[knot]]s which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined together so that it cannot be undone, [[Unknot|the simplest knot being a ring (or "unknot")]]. In mathematical language, a knot is an [[embedding]] of a [[circle]] in 3-dimensional [[Euclidean space]], '''R'''<sup>3</sup> (in topology, a circle isn't bound to the classical geometric concept, but to all of its [[homeomorphism]]s). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of '''R'''<sup>3</sup> 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.