Equivalences generated by families of Borel sets-Reference-Cited by-同舟云学术

Equivalences generated by families of Borel sets

Published:1978 Issue:2 Volume:69 Page:323-326
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Burgess John P.

Abstract

The equivalence relation on the reals generated by a family of ℵ α {\aleph _\alpha } Borel sets has either ⩽ ℵ α \leqslant {\aleph _\alpha } or else exactly 2 ℵ 0 {2^{{\aleph _0}}} equivalence classes.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-069-02/S0002-9939-1978-0476524-6/S0002-9939-1978-0476524-6.pdf

Reference5 articles.

1. J. P. Burgess, Infinitary languages and descriptive set theory, Doctoral Dissertation, Univ. of California, Berkeley, Calif., 1974.

2. A reflection phenomenon in descriptive set theory;Burgess, John P.;Fund. Math.,1979

3. Counting the number of equivalence classes of Borel and coanalytic equivalence relations;Silver, Jack H.;Ann. Math. Logic,1980

4. A tree argument in infinitary model theory;Harnik, V.;Proc. Amer. Math. Soc.,1977

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