Ω-powers and descriptive set theory

Journal of Symbolic Logic 70 (4):1210-1232 (2005)
Abstract
We study the sets of the infinite sentences constructible with a dictionary over a finite alphabet, from the viewpoint of descriptive set theory. Among others, this gives some true co-analytic sets. The case where the dictionary is finite is studied and gives a natural example of a set at level ω of the Wadge hierarchy
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