LOCALITY AND SYMMETRY IN INTERCONNECTING

Locality is the behavior (structural self-organization) of a collectivity around an origin. Group locality is a behavior of a collectivity determined of certain group properties, e.g., symmetries of finite plane figures. Group locality is another point of view on the networks locality. Expressing the interconnection as collectivity model we prove that the dichotomy locality-globality covers mathematically one of the structural meanings of the collectivity: local and global, i.e., a structural potential of a collectivity dynamics, or a structural self-organization of a collectivity.