knot in topology

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• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia

• topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c …   Universalium

• Knot — For speeds, see Knot (unit). For other uses, see Knot (disambiguation). Some knots 1 Yarn knot ABoK #2688 2 Manrope knot 3 Granny knot 4 Rosebud stopper knot(?) …   Wikipedia

• knot theory — noun Date: 1981 a branch of topology concerned with the properties and classification of mathematical knots • knot theorist noun …   New Collegiate Dictionary

• knot theory — noun A branch of topology related to knots …   Wiktionary

• Invertible knot — In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed. A non invertible knot is any knot which does not have this… …   Wikipedia

• 6₂ knot — The 62 knot. In knot theory, the 62 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 63 knot. This knot is sometimes referred to as the Miller Institute knot[1], because is appea …   Wikipedia

• Mutation (knot theory) — The Kinoshita–Terasaka knot and the Conway knot respectively, and how they are related by mutation. In the mathematical field of knot theory, a mutation is an operation on a knot that can produce different knots. Suppose K is a knot given in the… …   Wikipedia

• List of knot theory topics — 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 precise mathematical… …   Wikipedia

• List of geometric topology topics — This is a list of geometric topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of algebraic topology topics Publications in topology Contents 1 Low dimensional topology 1.1 …   Wikipedia

• Computational topology — Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular computational geometry and computational complexity theory. A primary concern of algorithmic topology, as its …   Wikipedia