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A property of connected subsets of an ordered set

✍ Scribed by Stefan Foldes

Publisher
Springer
Year
1994
Tongue
English
Weight
258 KB
Volume
31
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

On the minimal cofinal subsets of a dire
On the minimal cofinal subsets of a directed quasi-ordered set
✍ Wang Shang-Zhi; Li Bo-Yu πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 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