Topological Computing - Science and Theory

Science and Theory

The first who bound up the topology of figures and the logical systems was Alfred Tarski. He showed that the logical units can be associated with the topologically different geometrical figures. At the end of the 1980s, the topology of the electromagnetic field was studied in detail and a topological theory of guided waves and components was proposed and applied to many microwave integrated components.

The topological theory, nonlocal by its nature, describes the electric and magnetic fields by their topological schemes or skeletons composed of the field-force map separatrices and field-equilibrium manifolds. These skeletons are coupled to each other through the topological analogs of the Maxwell's equations. Other aspects of topological theory of electromagnetic field and applications of topology in physics and electromagnetism can be found from.