Polish group actions and admissible sets

Details Polish group actions and admissible sets Polish group actions and admissible sets

2007-01-27

arxiv.org/abs/math/0701788v2

Mathematics

Logic

34 pages, LaTeX

Scientific paper

We define some coding of Borel sets in admissible sets. Using this we
generalize certain results from model theory involving admissible sets to the
case of continuous actions of closed permutation groups on Polish spaces. In
particular we obtain counterparts of Nadel's theorems about relationships
between Scott sentences and admissible sets.

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