Transitions Between Systems of Relationals

In this chapter we shall study transitions between relational systems. Transitions were first introduced in section 4.1. We are interested in transitions as a device for studying dependence, and this will determine the form and content of the chapter. In section 7.1 we generalize the notion of finitary system of relationals from section 3.4 so that a system of relationals may consist of infinitely many relationals, and give a short recapitulation of central notions such as range of definition, extension and characteristic class, domain stability etc. The investigation of transitions is begun in section 7.2, where we study relationships between properties of transitions and subordination. In section 7.3 we conduct a similar investigation for correlation rather than subordination.