The Baire category theorem and the evasion number
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- by Masaru Kada PDF
- Proc. Amer. Math. Soc. 126 (1998), 3381-3383 Request permission
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
- Tomek Bartoszyński and Haim Judah, Set theory, A K Peters, Ltd., Wellesley, MA, 1995. On the structure of the real line. MR 1350295, DOI 10.1201/9781439863466
- Andreas Blass, Cardinal characteristics and the product of countably many infinite cyclic groups, J. Algebra 169 (1994), no. 2, 512–540. MR 1297160, DOI 10.1006/jabr.1994.1295
- Jörg Brendle, Evasion and prediction—the Specker phenomenon and Gross spaces, Forum Math. 7 (1995), no. 5, 513–541. MR 1346879, DOI 10.1515/form.1995.7.513
- Jörg Brendle and Saharon Shelah, Evasion and prediction. II, J. London Math. Soc. (2) 53 (1996), no. 1, 19–27. MR 1362683, DOI 10.1112/jlms/53.1.19
Additional Information
- Masaru Kada
- Affiliation: Osaka Prefecture University, Sakai, Osaka, 599-8531 Japan
- Email: kada@mi.cias.osakafu-u.ac.jp
- 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 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3381-3383
- MSC (1991): Primary 03E05
- DOI: https://doi.org/10.1090/S0002-9939-98-04449-9
- MathSciNet review: 1459127