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An infinite sequence of non-realizable weavings |
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| Authors: | Du&#x;an Repov&#x; Arkady Skopenkov Fulvia Spaggiari |
| Institution: | aInstitute for Mathematics, Physics and Mechanics,University of Ljubljana, P. O. Box 2964, 1001 Ljubljana, Slovenia bDepartment of Differential Geometry, Faculty of Mechanics and Mathematics,Moscow State University, Moscow 119992, Russia cDipartimento di Matematica, Università degli Studi di Modena e Reggio Emilia, Via Campi 213/B, Modena 41100, Italy |
| Abstract: | A weaving is a number of lines drawn in the plane so that no three lines intersect at a point, and the intersections are drawn so as to show which of the two lines is above the other. For each integer n 4 we construct a weaving of n lines, which is not realizable as a projection of a number of lines in 3-space, all of whose subfigures are realizable as such projections. |
| Keywords: | Algebraic knot theory Weaving Realizability Projection |
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