Constructing wadge classes

Bulletin of Symbolic Logic 28 (2):207-257 (2022)
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Abstract

We show that, assuming the Axiom of Determinacy, every non-selfdual Wadge class can be constructed by starting with those of level $\omega _1$ and iteratively applying the operations of expansion and separated differences. The proof is essentially due to Louveau, and it yields at the same time a new proof of a theorem of Van Wesep. The exposition is self-contained, except for facts from classical descriptive set theory.

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Author's Profile

Sandra Eleonore Müller
Ludwig Maximilians Universität, München

Citations of this work

Zero-dimensional σ-homogeneous spaces.Andrea Medini & Zoltán Vidnyánszky - 2024 - Annals of Pure and Applied Logic 175 (1):103331.

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References found in this work

The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
On Borel ideals.Fons van Engelen - 1994 - Annals of Pure and Applied Logic 70 (2):177-203.

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