The solution to one of Ulam’s problems concerning analytic sets. II.
Author:
R. Mansfield
Journal:
Proc. Amer. Math. Soc. 26 (1970), 539-540
MSC:
Primary 28.10; Secondary 04.00
DOI:
https://doi.org/10.1090/S0002-9939-1970-0279265-6
MathSciNet review:
0279265
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that the universal analytic set is not a $\sigma$-combination of measurable rectangles.
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L. Kuratowski, Topology. Vol. 1, PWN, Warsaw and Academic Press, New York, 1966, MR 36 #840.
R. Mansfield, The solution to one of Ulam’s problems concerning analytic rectangles, Proc. Summer Institute on Set Theory, U.C.L.A., Los Angeles, Calif., 1967.
- B. V. Rao, Remarks on analytic sets, Fund. Math. 66 (1969/70), 237–239. MR 274689, DOI https://doi.org/10.4064/fm-66-2-237-239
- S. M. Ulam, Problems in modern mathematics, Science Editions John Wiley & Sons, Inc., New York, 1964. MR 0280310
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Additional Information
Keywords:
Analytic,
Borel,
measurable rectangle
Article copyright:
© Copyright 1970
American Mathematical Society