Open Access
Translator Disclaimer
April, 2000 A measure theoretic basis theorem for Π21
Hiroshi FUJITA
J. Math. Soc. Japan 52(2): 335-341 (April, 2000). DOI: 10.2969/jmsj/05220335

Abstract

Using the covering game, we prove that every (lightface)Π21-set of positive Lebesgue measure contains a member which is arithmetical in 0. This result generalizes a result for Π11 due to Sacks and Tanaka.

Citation

Download Citation

Hiroshi FUJITA. "A measure theoretic basis theorem for Π21." J. Math. Soc. Japan 52 (2) 335 - 341, April, 2000. https://doi.org/10.2969/jmsj/05220335

Information

Published: April, 2000
First available in Project Euclid: 10 June 2008

MathSciNet: MR1742800
zbMATH: 0962.03044
Digital Object Identifier: 10.2969/jmsj/05220335

Subjects:
Primary: 03E15
Secondary: 04A15

Keywords: Analytical hierarchy , basis theorem , covering games , determinacy , zero-sharp

Rights: Copyright © 2000 Mathematical Society of Japan

JOURNAL ARTICLE
7 PAGES


SHARE
Vol.52 • No. 2 • April, 2000
Back to Top