With the discovery of the topological phase of the research material, the prediction and classification of these materials was carried out in terms of the so-called topological protection. The topology of electron states requires surface states to occur due to electromagnetic interactions and the body mass is insulated. This seemingly successful discovery conceals a fundamental disadvantage, and the small number of topological materials detected in relation to the materials previously identified in the databases. Which could become a problem for finding topology materials. Therefore, the goal is to present a complete theory of electron bands, which creates a novel contraband theory of electrons. This approach creates a link between topology and topical chemical bonds. This theory of topological quantum chemistry is based on the description of the graph theory of momentum space (Inverted space) and describing the theory of complementary groups in the real space provide a comprehensive description of the properties of band structures For all 230 groups of crystal symmetry, we classify possible band structures that are generated from local atomic orbitals, and show that non-redundant topologies are invisible. Such a new stance theory opens up the recognition of topological insulations and their further prediction.