The additivity of porosity ideals
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- by Jörg Brendle
- Proc. Amer. Math. Soc. 124 (1996), 285-290
- DOI: https://doi.org/10.1090/S0002-9939-96-02992-9
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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.
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- 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
Bibliographic 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