Authors: Sergiu Cataranciuc
Keywords: Abstract cube, cubic complex, median, transversal, group of homologies, convex set, class of parallel edges.
Abstract
Median problem for an arbitrary complex of abstract cubes is studied. First, a number of auxiliary results related to some
special metric properties of abstract n-dimensional cube are presented. Basing on these results and results obtained in the study of homogeneous complexes [13], it is proved that median of an arbitrary complex of abstract cubes can be calculated without using metrics. Method which represents a generalization of method applied to homogeneous complex of abstract cubes is proposed.
State University of Moldova
60 A. Mateevici street, MD-2009, Chişinău, MD-2009,
E-mail:
Fulltext
–
0.27 Mb