%0 Journal Article
%T Omega-powers and descriptive set theory
%A Dominique Lecomte
%J Mathematics
%D 2007
%I arXiv
%X We study the sets of the infinite sentences constructible with a dictionary over a finite alphabet, from the viewpoint of descriptive set theory. Among other things, 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 the level omega of the Wadge hierarchy.
%U http://arxiv.org/abs/0710.0153v1