✦ LIBER ✦

On the well-ordered subsets of the continuum

✍ Scribed by Oswald Veblen

Book ID: 105697232
Publisher: Springer Milan
Year: 1908
Tongue: Italian
Weight: 24 KB
Volume: 25
Category: Article
ISSN: 0009-725X
DOI: 10.1007/bf03029141

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📜 SIMILAR VOLUMES

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On the minimal cofinal subsets of a dire

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✍ Wang Shang-Zhi; Li Bo-Yu 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 818 KB

It is shown that for any directed quasi-ordered set (Q, ~<), there is a minimal ordinal number h such that every cofinal subset of Q contains a cofinal subset which is the 0-th class original set of a pure h-th class chain of Q. A special case of our results gives necessary and sufficient conditions