Eine Definition des Begriffs “Gitterkomplex”

Abstract

Using some concepts of set theory and of group theory a lattice complex (Gitterkomplex) is defined as a set of point configurations. For this the difference between space groups and classes of space groups has to be considered. In order to define lattice complexes point configurations are combined stepwise to form sets of equivalent points, “Konfigurationslagen”, and classes of these. Some properties of lattice complexes are explained and possibilities of using this concept of lattice complexes are discussed.