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Contemporary Mathematics and Its Applications, 2014, Volume 94, paper published in the English version journal
(Mi cma21)
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This article is cited in 1 scientific paper (total in 1 paper)
Some properties of “bulky” links generated by generalized Möbius–Listing bodies $GML^n_4$
D. Caratellia, J. Gielisb, P. E. Riccic, I. N. Tavkhelidzed a Delft University of Technology, Delft, The Netherlands
b University of Antwerp, Groenenborgerlaan, Wilrijk, Belgium
c Universita Campus Bio-medico di Roma, Roma, Italy
d Tbilisi Ivane Javakhishvili State University
Abstract:
In the present paper, we consider the “bulky knots” and “bulky links” that appear after cutting of generalized Möbius–Listing $GML^n_4$ bodies (with corresponding radial cross sections square) along different generalized Möbius–Listing surfaces $GML^n_2$ situated in it. The aim of this article is to examine the number and geometric structure of independent objects that appear after such a cutting process of $GML^n_4$ bodies. In most cases, we are able to count the indices of the resulting mathematical objects according to the known tabulation for knots and links of small complexity.
Citation:
D. Caratelli, J. Gielis, P. E. Ricci, I. N. Tavkhelidze, “Some properties of “bulky” links generated by generalized Möbius–Listing bodies $GML^n_4$”, Journal of Mathematical Sciences, 216:4 (2016), 509–518
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