Distributive grouppoids for knots in projective space
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 89-93
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In the article the approach of constructing of a distributive knot in the case of projective space is suggested. The fact of knot characterization by his grouppoid is proved. Knot grouppoid works for construction of other invariants of knot.
[1] S. V. Matveev, “Distributivnye gruppoidy i uzly v teorii uzlov”, Mat. sb., 119:1 (1982), 78–88 | MR
[2] D. Joyce, “A classifying invariant of knots, the knot quandle”, J. Pure Appl. Algebra, 23 (1982), 37–65 | DOI | MR
[3] Yu. V. Drobotukhina, “Analog polinoma Dzhonsa dlya zatseplenii v $\mathbb{R}P^3$ i obobschenie teoremy Kauffmana — Murasugi”, Algebra i analiz, 2:3 (1991), 613–630 | MR
[4] S. V. Matveev, A. T. Fomenko, Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, Izd-vo MGU, M., 1991 | MR