Hopf fibration — In the mathematical field of topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3 sphere (a hypersphere in four dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it… … Wikipedia
Link group — In knot theory, an area of mathematics, the link group of a link is an analog of the knot group of a knot. They were described by John Milnor in his Bachelor s thesis, (Milnor 1954). Contents 1 Definition 2 Examples 3 … Wikipedia
Link (knot theory) — In mathematics, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory … Wikipedia
Heinz Hopf — (November 19, 1894 – June 3, 1971) was a German mathematician born in Gräbschen, Germany (now Grabiszyn, part of Wrocław, Poland). He attended Dr. Karl Mittelhaus higher boys school from 1901 to 1904, and then entered the König Wilhelm Gymnasium… … Wikipedia
Poincaré–Hopf theorem — In mathematics, the Poincaré–Hopf theorem (also known as the Poincaré–Hopf index formula, Poincaré–Hopf index theorem, or Hopf index theorem) is an important theorem in differential topology. It is named after Henri Poincaré and Heinz Hopf.The… … Wikipedia
Brunnian link — In knot theory, a branch of mathematics, a Brunnian link is a nontrivial link that becomes trivial if any component is removed. In other words, cutting any loop frees all the other loops (so that no two loops can be directly linked).The name… … Wikipedia
Skein relation — A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One tool used to answer such questions is a knot polynomial which is an invariant of the knot. If two diagrams have different polynomials … Wikipedia
List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… … Wikipedia
Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia
Clasper (mathematics) — In the mathematical field of low dimensional topology, a clasper is a surface (with extra structure) in a 3 manifold on which surgery can be performed. Contents 1 Motivation 2 Definition 3 Clasper calculus … Wikipedia
