Omega-powers and descriptive set theory
Logic
2007-10-02 v1 General Topology
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 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.
Cite
@article{arxiv.0710.0153,
title = {Omega-powers and descriptive set theory},
author = {Dominique Lecomte},
journal= {arXiv preprint arXiv:0710.0153},
year = {2007}
}