Berge knot

Berge knot

In the mathematical theory of knots, a Berge knot or doubly primitive knot is any member of a particular family of knots in the 3-sphere. A Berge knot "K" is defined by the conditions:
# "K" lies on a genus two Heegaard surface "S"
# in each handlebody bound by "S", "K" meets some meridian disc exactly once.

John Berge constructed these knots as a way of creating knots with lens space surgeries and classified all the Berge knots. Cameron Gordon conjectured these were the only knots admitting lens space surgeries. This is now known as the Berge conjecture.


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Berge conjecture — In the mathematical subject of knot theory, the Berge conjecture states that the only knots in the 3 sphere which admit lens space surgeries are Berge knots. The conjecture (and family of Berge knots) is named after John Berge. Progress on the… …   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

  • List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

  • Geld — 1. Ach, nun fällt mi all mîn klên Geld bî. (Brandenburg.) Ein Ausruf, der häufig erfolgt, wenn jemand durch irgendeinen Umstand an etwas erinnert wird, was er hätte thun sollen, aber bisher zu thun vergessen hat. 2. All wîr1 Geld, dat et Wîf nig… …   Deutsches Sprichwörter-Lexikon

  • Liste von Kriegsfilmen — Es ist teilweise umstritten, welche Spielfilme als „Kriegsfilme“ gelten können. Wie im Hauptartikel Kriegsfilm dargelegt, gibt es die Auffassung, nur die Thematisierung moderner Kriege rechtfertige das Etikett „Kriegsfilm“. Hiervon abweichend… …   Deutsch Wikipedia

  • List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …   Wikipedia

  • Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …   Wikipedia

  • List of lemmas — This following is a list of lemmas (or, lemmata , i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms, list of theorems and list of conjectures. 0 to 9 *0/1 Sorting Lemma ( comparison… …   Wikipedia

  • Dreifaltigkeitsbombe — Trinity Bombe kurz nach der Fertigstellung (15. Juli 1945) Trinity Explosion …   Deutsch Wikipedia

  • Gruppenehe — Das Herz mit dem Zeichen der Unendlichkeit als Symbol für Polyamory Polyamory (griech. πολύς polýs „viel, mehrere“ und lat. amor „Liebe“) ist ein Oberbegriff für die Praxis, Liebesbeziehungen zu mehr als einem Menschen zur gleichen Zeit zu haben …   Deutsch Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”