On a σ-ideal of compact sets

We recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a G δ σ-ideal of compact subsets of 2 ω and prove that it is not Tukey reducible to the ideal I 1 / n = { H ⊆ ω : ∑ h ∈ H 1 / h < ∞ } . This result answers a question of S. Solecki and S. Todorčević in the neg...

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Bibliographic Details
Published in:Topology and its applications 2010-06, Vol.157 (8), p.1479-1484
Main Author: Mátrai, Tamás
Format: Article
Language:English
Subjects:
[formula omitted]σ-ideal of compact sets
Tukey reducibility
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Summary:We recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a G δ σ-ideal of compact subsets of 2 ω and prove that it is not Tukey reducible to the ideal I 1 / n = { H ⊆ ω : ∑ h ∈ H 1 / h < ∞ } . This result answers a question of S. Solecki and S. Todorčević in the negative.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2009.06.014