\(\Delta^ 1_ 2\)-sets of reals (Q1117922)
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scientific article; zbMATH DE number 4093439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\Delta^ 1_ 2\)-sets of reals |
scientific article; zbMATH DE number 4093439 |
Statements
\(\Delta^ 1_ 2\)-sets of reals (English)
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1989
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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.
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lower levels of the analytical hierarchy
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Lebesgue-measurable
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Baire categoricity
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Ramsey
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forcing
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0.88026214
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