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
ON ORDERING OF THE SYSTEM OF ALL SUBSETS OF A GIVEN SET
β Scribed by Milan Sekanina
- Publisher
- John Wiley and Sons
- Year
- 1964
- Tongue
- English
- Weight
- 983 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
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