\(\Delta^ 1_ 2\)-sets of reals
type: Item
instance of: scholarly article
title: \(\Delta^ 1_ 2\)-sets of reals
zbMATH Open document ID: 0668.03020
DOI: 10.1016/0168-0072(89)90016-X
author: Jaime I. Ihoda
author: S. Shelah
published in: Annals of Pure and Applied Logic
publication date: 1989-01-01T00:00:00Z
review text: In this highly condensed paper the authors present a complete solution to the relationship between statements of the form ``every X-set of reals has the property P'', where X refers to the lower levels of the analytical hierarchy of sets of reals, and among the properties P there are considered ``Lebesgue-measurable'', ``Baire categoricity'', ``to be Ramsey'' and ``K\(\sigma\)-regular''. The above statements are characterized by means of suitable notions of forcing.
reviewed by: K.Gloede
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 4093439
zbMATH Keywords: lower levels of the analytical hierarchy
zbMATH Keywords: Lebesgue-measurable
zbMATH Keywords: Baire categoricity
zbMATH Keywords: Ramsey
zbMATH Keywords: forcing
MaRDI profile type: Publication
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cites work: Every analytic set is Ramsey
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description: scientific article; zbMATH DE number 4093439