Abstract
We now provide the class of multirelations of a given arity with a topology by stipulating that the open sets be all possible unions of logical classes. It is clear that any union of open sets is open and the intersection of any two open sets is open, so that this is indeed a topology. The closed sets, or intersections of logical classes, will be called δ-logical classes.
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© 1974 D. Reidel Publishing Company, Dordrecht, Holland
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Fraïssé, R. (1974). Logical Convergence; Compactness, Omission and Interpretability Theorems. In: Course of Mathematical Logic. Synthese Library, vol 69. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2097-8_2
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DOI: https://doi.org/10.1007/978-94-010-2097-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-0510-5
Online ISBN: 978-94-010-2097-8
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