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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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A remark on analytic sets with $\sigma$-compact sections
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by V. V. Srivatsa PDF
Proc. Amer. Math. Soc. 81 (1981), 306-307 Request permission

Abstract:

We show that there exists an analytic set $A \subset {\omega ^\omega } \times {\omega ^\omega }$ and having $\sigma$-compact vertical sections such that $A$ contains no analytic set $B$ with compact vertical sections and having the same projection to the first coordinate as $A$. This answers a question of J. R. Steel.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 306-307
  • MSC: Primary 04A15; Secondary 03E15, 28A05, 54H05
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0593477-0
  • MathSciNet review: 593477