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

There is a $ Q$-set space in ZFC


Author: Zoltán T. Balogh
Journal: Proc. Amer. Math. Soc. 113 (1991), 557-561
MSC: Primary 54G20; Secondary 54H05
MathSciNet review: 1077786
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Abstract: It is shown that there is a regular $ {T_1}$-space whose every subset is a $ {G_\delta }$-set and yet the space is not $ \sigma $-discrete.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1077786-3
PII: S 0002-9939(1991)1077786-3
Keywords: $ {G_\delta }$-set, $ \sigma $-discrete left-separated, elementary submodel
Article copyright: © Copyright 1991 American Mathematical Society