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Zbl 1104.03044
Gruenhage, Gary; Levy, Ronnie
Correction to the paper: ``Covering $^\omega\omega$ by special Cantor sets''. (English)
[J] Commentat. Math. Univ. Carol. 45, No. 1, 177 (2004). ISSN 0010-2628

From the text: We wish to point out that Theorem 2.12 on page 502 in our paper [Commentat. Math. Univ. Carol. 43, No. 3, 497--509 (2002; Zbl 1072.03028)] is incorrect as stated. The cardinal invariant $\text {cov}(\cal N)$ in its statement should be $\text {cof}(\cal N)$. That is, the theorem should state that $c(\Bbb P,f)$ is equal to the cofinality of the null ideal, not the covering number (for functions $f$ having infinite limit). The two instances of $\text {cov}(\cal N)$ in the proof of 2.12 should be changed to $\text {cof}(\cal N)$ as well. With these changes, the statement and proof of Theorem 2.12 are correct.

MSC 2000:: *03E17 Cardinal characteristics of the continuum
03E35 Consistency and independence results (set theory)
54A35 Consistency and independence results (general topology)

Citations: Zbl 1072.03028

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