Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



The additivity of porosity ideals

Author: Jörg Brendle
Journal: Proc. Amer. Math. Soc. 124 (1996), 285-290
MSC (1991): Primary 03E05
MathSciNet review: 1285976
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • 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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 03E05

Retrieve articles in all journals with MSC (1991): 03E05

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

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
Article copyright: © Copyright 1996 American Mathematical Society

American Mathematical Society