摘要: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.
关键词:Abstract cube; cubic complex; median; transversal; group of homologies; convex set; class of parallel edges.