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December 2005 ω-powers and descriptive set theory
Dominique Lecomte
J. Symbolic Logic 70(4): 1210-1232 (December 2005). DOI: 10.2178/jsl/1129642123

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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Dominique Lecomte. "ω-powers and descriptive set theory." J. Symbolic Logic 70 (4) 1210 - 1232, December 2005. https://doi.org/10.2178/jsl/1129642123

Information

Published: December 2005
First available in Project Euclid: 18 October 2005

zbMATH: 1117.03055
MathSciNet: MR2194245
Digital Object Identifier: 10.2178/jsl/1129642123

Rights: Copyright © 2005 Association for Symbolic Logic

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Vol.70 • No. 4 • December 2005
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