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The additivity of porosity ideals

Author(s): Jörg Brendle
Journal: Proc. Amer. Math. Soc. 124 (1996), 285-290.
MSC (1991): Primary 03E05
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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:

Bl: A. Blass, Cardinal characteristics and the product of countably many infinite cyclic groups, J. Algebra 169 (1994), 512--540. CMP 95:02
Br: J. Brendle, Evasion and prediction---the Specker phenomenon and Gross spaces, Forum Math. (to appear).
Je: T. Jech, Set theory, Academic Press, New York, 1978. MR 80a:03062
Re: M. Repický, Cardinal invariants related to porous sets, Set Theory of the Reals (Haim Judah, ed.), Israel Math. Conf. Proc., vol. 6, Weizmann, Jerusalem, 1993, pp. 433--438. MR 94h:03095
Za: L. Zajícek, Porosity and $\sigma$ -porosity, Real Anal. Exchange, 13 (1987--88), 314--350. MR 89e:26009

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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

DOI: 10.1090/S0002-9939-96-02992-9
PII: S 0002-9939(96)02992-9
Keywords: Porous sets, cardinal invariants
Received by editor(s): June 22, 1993
Received by editor(s) in revised form: July 15, 1994
Communicated by: Andreas R. Blass
Copyright of article: Copyright 1996, American Mathematical Society


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