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Another Generalization of Pascal's Theorem

✍ Scribed by Brennan, J. G.


Book ID
120098300
Publisher
Oxford University Press
Year
1964
Tongue
English
Weight
54 KB
Volume
s1-39
Category
Article
ISSN
0024-6107

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Another Generalization of Lindström's Th
✍ Uwe Leck 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 185 KB

We consider the poset P ðN ; A 1 ; A 2 ; . . . ; A m Þ consisting of all subsets of a finite set N which do not contain any of the A i 's, where the A i 's are mutually disjoint subsets of N : The elements of P are ordered by inclusion. We show that P belongs to the class of Macaulay posets, i.e. we