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ω-powers and descriptive set theory

Published online by Cambridge University Press:  12 March 2014

Dominique Lecomte
Dominique Lecomte*
Affiliation:
Université Paris 6, Equipe D'Analyse Fonctionnelle, Tour 46-0. Boîte 186, 4. Place Jussieu 75 252 Paris Cedex 05., France Université de Picardie, I.U.T. de L'Oise Site de Creil, 13. Allée de La Faïencerie 60 107 Creil., France, E-mail: [email protected]
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 4 , December 2005 , pp. 1210 - 1232
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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