ambient isotopy

ambient isotopy
Математика: окружающая изотопия

Универсальный англо-русский словарь. . 2011.

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  • Ambient isotopy — In the mathematical subject of topology, an ambient isotopy, also called an h isotopy, is a kind of continuous distortion of an ambient space , a manifold, taking a submanifold to another submanifold. For example in knot theory, one considers two …   Wikipedia

  • Regular isotopy — In the mathematical subject of knot theory, a regular isotopy of a link diagram is the equivalence relation generated by using the 2nd and 3rd Reidemeister moves only. The notion of regular isotopy was introduced by Louis Kauffman (Kauffman 1990) …   Wikipedia

  • Connected sum — In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the… …   Wikipedia

  • Homotopy — This article is about topology. For chemistry, see Homotopic groups. The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one… …   Wikipedia

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

  • Virtual knot — In knot theory, a virtual knot is a generalization of the classical idea of knots in several ways which are all equivalent.*In the theory of classical knots, knots can be considered equivalence classes of knot diagrams under the Reidemeister… …   Wikipedia

  • List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

  • Kauffman polynomial — The Kauffman polynomial is a 2 variable knot polynomial due to Louis Kauffman. It is initially defined on a link diagram as:F(K)(a,z)=a^{ w(K)}L(K),where w(K) is the writhe of the link diagram and L(K) is a polynomial in a and z defined on… …   Wikipedia

  • Knots and graphs — Knots and graph theory are related in some simple ways. The triangle is associated with the trefoil knot. Contents 1 Knot diagram …   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


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