Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

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.


References [Enhancements On Off] (What's this?)

  • [1] L. Kuratowski, Topology. Vol. 1, PWN, Warsaw and Academic Press, New York, 1966, MR 36 #840.
  • [2] 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.
  • [3] B. V. Rao, Remarks on analytic sets, Fund. Math. 66 (1969/1970), 237–239. MR 0274689
  • [4] S. M. Ulam, Problems in modern mathematics, Science Editions John Wiley & Sons, Inc., New York, 1964. MR 0280310

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28.10, 04.00

Retrieve articles in all journals with MSC: 28.10, 04.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0279265-6
Keywords: Analytic, Borel, measurable rectangle
Article copyright: © Copyright 1970 American Mathematical Society