Abstract
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.
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© 1992 Springer-Verlag Berlin Heidelberg
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Odelstad, J. (1992). Transitions Between Systems of Relationals. In: Invariance and Structural Dependence. Lecture Notes in Economics and Mathematical Systems, vol 380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48388-2_7
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DOI: https://doi.org/10.1007/978-3-642-48388-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55260-4
Online ISBN: 978-3-642-48388-2
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