framed knot
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Framed knot — In the mathematical theory of knots, a framed knot is the extension of a tame knot to an embedding of the solid torus D 2 times; S 1 in S 3.The framing of the knot is the linking number of the image of the ribbon I times; S 1 with the knot. As… … 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
Knot polynomial — In the mathematical field of knot theory, a knot polynomial is a knot invariant in the form of a polynomial whose coefficients encode some of the properties of a given knot. HistoryThe first knot polynomial, the Alexander polynomial, was… … Wikipedia
Self-linking number — In knot theory, the self linking number is an invariant of framed knots. It is related to the linking number of curves.A framing of a knot is a choice of a non tangent vector at each point of the knot. Given a framed knot C , the self linking… … Wikipedia
Linking number — In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other. The… … Wikipedia
List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… … 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
literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… … Universalium
jewelry — /jooh euhl ree/, n. 1. articles of gold, silver, precious stones, etc., for personal adornment. 2. any ornaments for personal adornment, as necklaces or cuff links, including those of base metals, glass, plastic, or the like. Also, esp. Brit.,… … Universalium
rug and carpet — Any decorative textile normally made of a thick material and intended as a floor covering. Floor coverings made of plaited rushes date from the 5th or 4th millennium BC. Carpets were first made in central and western Asia as coverings for earthen … Universalium
Reidemeister move — In the mathematical area of knot theory, a Reidemeister move refers to one of three local moves on a link diagram. In 1927, J.W. Alexander and G.B. Briggs, and independently Kurt Reidemeister, demonstrated that two knot diagrams belonging to the… … Wikipedia
