A measure theoretic basis theorem for Π21

Hiroshi FUJITA

doi:10.2969/jmsj/05220335

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Home > Journals > J. Math. Soc. Japan > Volume 52 > Issue 2 > Article

April, 2000 A measure theoretic basis theorem for

\Pi_{2}^{1}

Hiroshi FUJITA

J. Math. Soc. Japan 52(2): 335-341 (April, 2000). DOI: 10.2969/jmsj/05220335

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Abstract

Using the covering game, we prove that every (lightface) $\Pi_{2}^{1}$ -set of positive Lebesgue measure contains a member which is arithmetical in $0^{#}$ . This result generalizes a result for $\Pi_{1}^{1}$ due to Sacks and Tanaka.

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Hiroshi FUJITA. "A measure theoretic basis theorem for $\Pi_{2}^{1}$ ." J. Math. Soc. Japan 52 (2) 335 - 341, April, 2000. https://doi.org/10.2969/jmsj/05220335