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unknotted sphere

См. также в других словарях:

  • Exotic sphere — In differential topology, a mathematical discipline, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n sphere. That is, M is a sphere from the point of view of all its… …   Wikipedia

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

  • Whitehead manifold — In mathematics, the Whitehead manifold is an open 3 manifold that is contractible, but not homeomorphic to R3. Henry Whitehead discovered this puzzling object while he was trying to prove the Poincaré conjecture.A contractible manifold is one… …   Wikipedia

  • Kirby calculus — In mathematics, the Kirby calculus in geometric topology is a method for modifying framed links in the 3 sphere using a finite set of moves, the Kirby moves. It is named for Robion Kirby. Using four dimensional Cerf theory, he proved that if M… …   Wikipedia

  • Mazur manifold — In differential topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth 4 dimensional manifold which is not diffeomorphic to the standard 4 ball. The boundary of a Mazur manifold is necessarily a homology 3 sphere.… …   Wikipedia

  • Gordon-Luecke theorem — In mathematics, the Gordon Luecke theorem on knot complements states that every homeomorphism between two complements of knots in the 3 sphere extends to give a self homeomorphism of the 3 sphere. In other words, any homeomorphism between knot… …   Wikipedia

  • Gordon–Luecke theorem — In mathematics, the Gordon–Luecke theorem on knot complements states that every homeomorphism between two complements of knots in the 3 sphere extends to give a self homeomorphism of the 3 sphere. In other words, any homeomorphism between knot… …   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

  • Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …   Wikipedia

  • Lickorish–Wallace theorem — In mathematics, the Lickorish–Wallace theorem in the theory of 3 manifolds states that any closed, orientable, connected 3 manifold may be obtained by performing Dehn surgery on a framed link in the 3 sphere with +/ 1 surgery coefficients.… …   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

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