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

### Details

Serval ID

serval:BIB_EE6DF1A95BFA

Collection

Publications

Fund

Title

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

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 19:47

Last modification date

18/11/2016 16:30