Generalized algebraic multiports and the axiom of choice

Abstract

Multiports which possess characteristics play a key role in electrical circuit theory. Resistors, capacitors, inductors and memristors as well as an infinite variety of higher order basic circuit elements belong to the class of algebraic multiports. In this paper the general coordinate free definition of an n-port having the characteristic is introduced and investigated in details. A concept of generalized algebraic multiport is also introduced. A deep relationship between the existence of time-varying characteristics of n-ports and the Axiom of Choice is emphasized.