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  • Geometrization conjecture — Thurston s geometrization conjecture states that compact 3 manifolds can be decomposed canonically into submanifolds that have geometric structures. The geometrization conjecture is an analogue for 3 manifolds of the uniformization theorem for… …   Wikipedia

  • Bass–Serre theory — is a part of the mathematical subject of group theory that deals with analyzing the algebraic structure of groups acting by automorphisms on simplicial trees. The theory relates group actions on trees with decomposing groups as iterated… …   Wikipedia

  • Double limit theorem — In hyperbolic geometry, Thurston s double limit theorem gives condition for a sequence of quasi Fuchsian groups to have a convergent subsequence. It was introduced in Thurston (1998, theorem 4.1) and is a major step in Thurston s proof of the… …   Wikipedia

  • Rips machine — In geometric group theory, the Rips machine is a method of studying the action of groups on R trees. It was introduced in unpublished work of Eliyahu Rips in about 1991. An R tree is a uniquely arcwise connected metric space in which every arc is …   Wikipedia

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

  • Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… …   Wikipedia

  • David Gabai — Nationality  United States Fields …   Wikipedia

  • Bibliography of John D. Caputo — The following is a bibliography of John D. Caputo s works.Books by Caputo*(1982) Heidegger and Aquinas *(1986) The Mystical Element in Heidegger s Thought *(1987) Radical Hermeneutics: Repetition, Deconstruction and the Hermeneutic Project… …   Wikipedia

  • History of knot theory — For thousands of years, knots have been used for basic purposes such as recording information, fastening and tying objects together. Over time people realized that different knots were better at different tasks, such as climbing or sailing. Knots …   Wikipedia

  • amplification — n 1. increase, enlargement, Archaic. ampliation, aggrandizement; expansion, widening, thickening, broadening; extension, lengthening, prolongation, protraction; inflation, dilatation, dilation, waxing; growth, spread, swell. 2. addition,… …   A Note on the Style of the synonym finder

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