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A Neighborly Property for the Canonical Decomposition of Transfinite Duals

✍ Scribed by A. Sersouri


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
887 KB
Volume
127
Category
Article
ISSN
0022-1236

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📜 SIMILAR VOLUMES


A Tukey decomposition of κλ and the tree
✍ Masayuki Karato 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

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.