On relatively analytic and Borel subsets

2003/05/01 by Arnold W. Miller, Miller, Arnold W.
Mathematics · #03E15 #03E17 #03E35 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Mathematical Dynamics and Fractals #math.LO #msc:03E15 #msc:03E17 #msc:03E35

paper · pdf · doi:10.48550/arxiv.math/0305036

LaTeX2e 10 pages available at http://www.math.wisc.edu/~miller/res/index.html

arxiv created 2003/05/01 · openalex publication_date 2003/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Define z to be the smallest cardinality of a function f:X->Y with X and Y sets of reals such that there is no Borel function g extending f. In this paper we prove that it is relatively consistent with ZFC to have b

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