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The Baire category theorem and the evasion number

Author: Masaru Kada
Journal: Proc. Amer. Math. Soc. 126 (1998), 3381-3383
MSC (1991): Primary 03E05
MathSciNet review: 1459127
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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.

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Additional Information

Masaru Kada
Affiliation: Osaka Prefecture University, Sakai, Osaka, 599-8531 Japan

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
Article copyright: © Copyright 1998 American Mathematical Society