Switch to: Citations

Add references

You must login to add references.
  1. Playing in the first Baire class.Raphaël Carroy - 2014 - Mathematical Logic Quarterly 60 (1-2):118-132.
    We present a self‐contained analysis of some reduction games, which characterise various natural subclasses of the first Baire class of functions ranging from and into 0‐dimensional Polish spaces. We prove that these games are determined, without using Martin's Borel determinacy, and give precise descriptions of the winning strategies for Player I. As an application of this analysis, we get a new proof of the Baire's lemma on pointwise convergence.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Wadge hierarchy and veblen hierarchy part I: Borel sets of finite rank.J. Duparc - 2001 - Journal of Symbolic Logic 66 (1):56-86.
    We consider Borel sets of finite rank $A \subseteq\Lambda^\omega$ where cardinality of Λ is less than some uncountable regular cardinal K. We obtain a "normal form" of A, by finding a Borel set Ω, such that A and Ω continuously reduce to each other. In more technical terms: we define simple Borel operations which are homomorphic to ordinal sum, to multiplication by a countable ordinal, and to ordinal exponentiation of base K, under the map which sends every Borel set A (...)
    Download  
     
    Export citation  
     
    Bookmark   14 citations