Source: Notre Dame J. Formal Logic
Volume 48, Number 1
We offer a topological treatment of scattered theories intended to help
to explain the parallelism between, on the one hand, the theorems provable using Descriptive Set Theory by analysis of the space of countable
models and, on the other, those provable by studying a tree of theories
in a hierarchy of fragments of infinintary logic. We state some theorems which are, we hope, a step on the road to fully understanding counterexamples to Vaught's Conjecture. This framework is in the early stages of development, and one area for future exploration is the possibility of extending it to a setting in which the spaces of types of a theory are uncountable.
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Mathematical Reviews (MathSciNet): MR503792
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Mathematical Reviews (MathSciNet): MR526920