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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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Killing Luzin and Sierpiński sets
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by H. Judah and S. Shelah PDF
Proc. Amer. Math. Soc. 120 (1994), 917-920 Request permission

Abstract:

We will kill the old Luzin and Sierpinski sets in order to build a model where $U(\mathcal {M}) = U(\mathcal {N}) = {\aleph _1}$ and there are neither Luzin nor Sierpinski sets. Thus we answer a question of J. Steprans, communicated by S. Todorcevic on route from Evans to MSRI.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 917-920
  • MSC: Primary 03E15; Secondary 03E35
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1164145-0
  • MathSciNet review: 1164145