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Remark on a theorem of Lindström

✍ Scribed by P Erdös

Book ID
107884782
Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
84 KB
Volume
17
Category
Article
ISSN
0097-3165

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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