Equivalences generated by families of Borel sets

Burgess, John P.

doi:10.1090/S0002-9939-1978-0476524-6

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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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