topological knot

topological knot
мат. топологический узел

Большой англо-русский и русско-английский словарь. 2001.

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

  • Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …   Wikipedia

  • Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… …   Wikipedia

  • Knot invariant — In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some… …   Wikipedia

  • Bowen knot — Knot details name= Bowen knot names= Bowen s knot, Tristram knot, True lover s knot caption= type= type2= strength= origin= related= Unknot, Carrick bend releasing= uses= Heraldic emblem caveat= Not a knot abok number= The Bowen knot is not a… …   Wikipedia

  • History of knot theory — For thousands of years, knots have been used for basic purposes such as recording information, fastening and tying objects together. Over time people realized that different knots were better at different tasks, such as climbing or sailing. Knots …   Wikipedia

  • Alternating knot — In knot theory, a link diagram is alternating if the crossings alternate under, over, under, over, as you travel along each component of the link. A link is alternating if it has an alternating diagram.Many of the knots with crossing number less… …   Wikipedia

  • Signature of a knot — The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface.Given a knot K in the 3 sphere, it has a Seifert surface S whose boundary is K . The Seifert form of S is the pairing phi : H 1(S) imes …   Wikipedia

  • Hyperbolic volume (knot) — In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is simply the volume of the link s complement with respect to its complete hyperbolic metric. The volume is necessarily finite. The hyperbolic volume of a non… …   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

  • Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …   Wikipedia


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