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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two unrelated results involving Baire spaces


Author: H. E. White
Journal: Proc. Amer. Math. Soc. 44 (1974), 463-466
MSC: Primary 54E99
MathSciNet review: 0346761
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Abstract: Two results are obtained in this paper. The first is a generalization of J. C. Oxtoby's category analogue of the Kolmogoroff zero-one law. The second result: every dense $ {G_\delta }$ subset of a quasi-regular $ \alpha $-favorable space is $ \alpha $-favorable.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0346761-6
PII: S 0002-9939(1974)0346761-6
Keywords: Tail set, zero-one law, weakly $ \alpha $-favorable, property of Baire, $ \alpha $-favorable, pseudo-complete
Article copyright: © Copyright 1974 American Mathematical Society