منابع مشابه
I. Dna Topology: Dna Unknotting, Dna Unlinking and Chromosome Architecture
I am a mathematical biologist specialized in the applications of topology to the study of DNA. In my research I collaborate closely with experimental biologists to ensure that the problems approached and the solutions proposed remain biologically relevant. I use my background in pure mathematics to study DNA topology and DNA rearrangements using analytical (topology, knots, tangles and graphs) ...
متن کاملUnknotting Unknots
A knot is an embedding of a circle into three-dimensional space. We say that a knot is unknotted if there is an ambient isotopy of the embedding to a standard circle. In essence, an unknot is a knot that may be deformed to a standard circle without passing through itself. By representing knots via planar diagrams, we discuss the problem of unknotting a knot diagram when we know that it is unkno...
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There is no known algorithm for determining whether a knot has unknotting number one, practical or otherwise. Indeed, there are many explicit knots (11328 for example) that are conjectured to have unknotting number two, but for which no proof of this fact is currently available. For many years, the knot 810 was in this class, but a celebrated application of Heegaard Floer homology by Ozsváth an...
متن کاملLevelling an unknotting tunnel
It is a consequence of theorems of Gordon–Reid [4] and Thompson [8] that a tunnel number one knot, if put in thin position, will also be in bridge position. We show that in such a thin presentation, the tunnel can be made level so that it lies in a level sphere. This settles a question raised by Morimoto [6], who showed that the (now known) classification of unknotting tunnels for 2–bridge knot...
متن کاملUnknotting number and knot diagram
TImis note is a continuation of [Nl], Wbere we have discusged tbe unknotting number of knots With rspect tía knot diagrams. Wc wilI show that for every minimum-crossing knot-diagram among ah unknotting-number-one two-bridge knot there exist crossings whose exchangeyields tIme trivial knot, ib tbe tbird Tait conjecture is true.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1966
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1966-0198482-0