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Gian-Carlo Rota, The Number of Partitions of a Set, The American Mathematical Monthly, Vol. 71, No. 5 (May, 1964), pp. 498-504 ...
The notion of noncrossing partitions of a partially ordered set (poset) is introduced here. When the poset in question is [n] = {1, 2, . . . , n} with the complete order of natural numbers, ...
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