A rigid Borel space

Aniszczyk, Bohdan

doi:10.1090/S0002-9939-1991-1076571-6

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A rigid Borel space
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Proc. Amer. Math. Soc. 113 (1991), 1013-1015 Request permission

Abstract:

We construct a rigid $\sigma$-algebra on a set of cardinality ${\omega _1}$.

References

J. E. Baumgartner, A. D. Taylor, and S. Wagon, Structural properties of ideals, Dissertationes Math. (Rozprawy Mat.) 197 (1982), 95. MR 687276
K. P. S. Bhaskara Rao and B. V. Rao, Borel spaces, Dissertationes Math. (Rozprawy Mat.) 190 (1981), 63. MR 634451
Manfred Droste, The existence of rigid measurable spaces, Topology Appl. 31 (1989), no. 2, 187–195. MR 994410, DOI 10.1016/0166-8641(89)90081-3
R. M. Shortt and Jan van Mill, Automorphism groups for measurable spaces, Topology Appl. 30 (1988), no. 1, 27–42. MR 964060, DOI 10.1016/0166-8641(88)90078-8