closed braid

closed braid

[¦klōzd ′brād]
(mathematics)
A modification of a braid in which plane curves are added that connect each of the n points on one of the parallel lines specified in the definition of the braid to one of the n points on the other in such a way that no two of these curves intersect or terminate at the same point, and the parallel lines themselves are deleted.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Thus, a random closed braid model of random transverse links are the same as a random closed braid model of random topological links.
Ito, Braid ordering and the geometry of closed braid, Geom.
You can then pull the bottom bar around and glue it to the top bar, connecting the strings in corresponding locations on the bars to form a closed braid. It turns out that every such braid corresponds to a knot, an unknot, or a set of linked knots.
Departing significantly from Haken's approach, Birman and Hirsch's novel algorithm for identifying unknots is built upon the idea of considering a knot or an unknot as a closed braid. In the Birman-Hirsch scheme, the braid's parameters can indicate whether it represents an unknot.
The SAE 100R7 and 100R8 thermoplastic analogues utilize a copolyetherester fluid resistant tube reinforced with a closed braid layer(s) of nylon or polyester fibers and covered by a thermoplastic urethane material for abrasion and splash fluid resistance.
Since the reinforcing braid in a closed braid construction is the major contributing component to the overall pressure rating of the hose, it is imperative to protect it from damaging elements.
On the growth rate of ideal Coxeter Yohei Komori and groups in hyperbolic 3-space Tomoshige YUKITA On a structure of random open books Tetsuya ITO and closed braids Above two, communicated by Kenji FUKAYA, M.J.A.
On the growth rate of ideal Coxeter groups in hyperbolic 3-space Yohei KOMORI and Tomoshige YUKITA On a structure of random open books and closed braids Tetsuya ITO Above two, communicated by Kenji FUKAYA, M.J.A.