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

Equivalences generated by families of Borel sets


Author: John P. Burgess
Journal: Proc. Amer. Math. Soc. 69 (1978), 323-326
MSC: Primary 04A25
MathSciNet review: 0476524
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Abstract: The equivalence relation on the reals generated by a family of $ {\aleph _\alpha }$ Borel sets has either $ \leqslant {\aleph _\alpha }$ or else exactly $ {2^{{\aleph _0}}}$ equivalence classes.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0476524-6
PII: S 0002-9939(1978)0476524-6
Article copyright: © Copyright 1978 American Mathematical Society