Wadge Hierarchy and Veblen Hierarchy. Part II: Borel Sets of Infinite Rank

Details

Serval ID
serval:BIB_EE6DF1A95BFA
Type
Unpublished: a document having an author and title, but not formally published.
Collection
Publications
Title
Wadge Hierarchy and Veblen Hierarchy. Part II: Borel Sets of Infinite Rank
Author(s)
Duparc J.
Language
english
Notes
submitted to the Journal of Symbolic Logic
Abstract
We consider Borel sets of the form A ⊆ Λω (with usual topology) where cardinality of Λ is less than some uncountable regular cardinal Κ. We obtain a ``normal form'' of A, by finding a Borel set Ω(α) such that A and Ω(α) continuously reduce to each other. We do so by defining Borel operations which are homomorphic to the Κ first Veblen ordinal functions of base Κ required to compute the Wadge degree of the set A: the ordinal α.
Create date
23/01/2008 20:47
Last modification date
20/08/2019 17:15
Usage data