Source: wikibot/gordon-luecke-theorem
= Gordon–Luecke theorem
{wiki=Gordon–Luecke_theorem}
The Gordon–Luecke theorem is a result in the field of geometry and topology, specifically in the area concerning the classification of certain knots in three-dimensional space. The theorem establishes a criterion for determining when two nontrivial knots in \\( S^3 \\) (the three-dimensional sphere) are equivalent or can be transformed into one another through a process known as knot concordance.