Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

The Baire category theorem and the evasion number

Author(s): Masaru Kada
Journal: Proc. Amer. Math. Soc. 126 (1998), 3381-3383.
MSC (1991): Primary 03E05
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: In this paper we prove that $\mathfrak e\leq {\operatorname{{\textsf{cov}}}}(\mathcal M)$ where $\mathfrak e$ is the evasion number defined by Blass. This answers negatively a question asked by Brendle and Shelah.

References:

1.: T. Bartoszy\'{n}ski and H. Judah, Set theory: On the structure of the real line, A. K. Peters, Wellesley, Massachusetts, 1995. MR 96k:03002
2.: A. Blass, Cardinal characteristics and the product of countably many infinite cyclic groups, J. Algebra 169 (1994), 512-540. MR 95h:20069
3.: J. Brendle, Evasion and prediction - the Specker phenomenon and Gross spaces, Forum Math. 7 (1995), 513-541. MR 96i:03042
4.: J. Brendle and S. Shelah, Evasion and prediction II, J. London Math. Soc. 53 (1996), 19-27. MR 97d:03061

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:

Masaru Kada
Affiliation: Osaka Prefecture University, Sakai, Osaka, 599-8531 Japan
Email: kada@mi.cias.osakafu-u.ac.jp

DOI: 10.1090/S0002-9939-98-04449-9
PII: S 0002-9939(98)04449-9
Received by editor(s): February 10, 1997
Received by editor(s) in revised form: April 7, 1997
Additional Notes: The author was supported by JSPS Research Fellowships for Young Scientists. The author was also supported by Grant-in-Aid for Scientific Research (Encouragement for Research Fellow, No. 97-03909), Ministry of Education, Science and Culture
Communicated by: Carl G. Jockusch
Copyright of article: Copyright 1998, American Mathematical Society


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS