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ЖУРНАЛЫ // Современная математика и ее приложения // Архив

Совр. матем. и ее приложения, 2014, том 94, страницы 509–518 (Mi cma21)

Эта публикация цитируется в 1 статье

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

Аннотация: 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.

УДК: 515.1

Язык публикации: английский


 Англоязычная версия: Journal of Mathematical Sciences, 2016, 216:4, 509–518


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