Some Remarks on a Combinatorial Theorem of Erdös and Rado
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 155-160

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P. Erdös and R. Rado [1] proved that to each pair of positive integers n and k, with k ≥ 3, there corresponds a least positive integer φ(n, k) such that if is a family of more than φ(n, k) sets, each set with n elements, then some k of the sets have pair-wise the same intersection.
Abbott, H. L. Some Remarks on a Combinatorial Theorem of Erdös and Rado. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 155-160. doi: 10.4153/CMB-1966-019-1
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     author = {Abbott, H. L.},
     title = {Some {Remarks} on a {Combinatorial} {Theorem} of {Erd\"os} and {Rado}},
     journal = {Canadian mathematical bulletin},
     pages = {155--160},
     year = {1966},
     volume = {9},
     number = {2},
     doi = {10.4153/CMB-1966-019-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-019-1/}
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