On the Blackwell property of Luzin sets.(English)Zbl 0591.28002

Summary: We prove under the Continuum Hypothesis that there are strongly Blackwell Luzin sets and not Blackwell Luzin sets. We also indicate how these results can be generalized under Martin’s axiom.

MSC:

 28A05 Classes of sets (Borel fields, $$\sigma$$-rings, etc.), measurable sets, Suslin sets, analytic sets 03E15 Descriptive set theory 03E50 Continuum hypothesis and Martin’s axiom

Keywords:

strongly Blackwell Luzin sets
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