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A Tukey decomposition of κλ and the tree property for directed sets

✍ Scribed by Masayuki Karato

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
147 KB
Volume
51
Category
Article
ISSN
0044-3050

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✦ Synopsis

Generalizing a result of Todorčević, we prove the existence of directed sets D, E such that D ≥ Pκλ and E ≥ Pκλ but D × E ≥ Pκλ in the Tukey ordering. As an application, we show that the tree property for directed sets introduced by Hinnion is not preserved under products.

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