Omega-powers and descriptive set theory

Details Omega-powers and descriptive set theory Omega-powers and descriptive set theory

2007-09-30

arxiv.org/abs/0710.0153v1

Journal of Symbolic Logic 70, 4 (2005) 1210-1232

Mathematics

Logic

Scientific paper

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.

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