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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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The additivity of porosity ideals
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by Jörg Brendle PDF
Proc. Amer. Math. Soc. 124 (1996), 285-290 Request permission

Abstract:

We show that several $\sigma$-ideals related to porous sets have additivity $\omega _1$ and cofinality $2^\omega$. This answers a question addressed by Miroslav Repický.
References
  • A. Blass, Cardinal characteristics and the product of countably many infinite cyclic groups, J. Algebra 169 (1994), 512–540.
  • J. Brendle, Evasion and prediction—the Specker phenomenon and Gross spaces, Forum Math. (to appear).
  • Thomas Jech, Set theory, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 506523
  • Miroslav Repický, Cardinal invariants related to porous sets, Set theory of the reals (Ramat Gan, 1991) Israel Math. Conf. Proc., vol. 6, Bar-Ilan Univ., Ramat Gan, 1993, pp. 433–438. MR 1234287
  • L. Zajíček, Porosity and $\sigma$-porosity, Real Anal. Exchange 13 (1987/88), no. 2, 314–350. MR 943561, DOI 10.2307/44151885
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Additional Information
  • Jörg Brendle
  • Affiliation: Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel
  • Address at time of publication: Mathematisches Institut der Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
  • Email: jobr@michelangelo.mathematik.uni-tuebingen.de
  • Received by editor(s): June 22, 1993
  • Received by editor(s) in revised form: July 15, 1994
  • Communicated by: Andreas R. Blass
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 285-290
  • MSC (1991): Primary 03E05
  • DOI: https://doi.org/10.1090/S0002-9939-96-02992-9
  • MathSciNet review: 1285976