Geodesic
An Application of Ramsay's Theorem to a Problem of Erdos and Hajnal
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 515-517

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A family of sets is said to possess property if there exists a set such that and F ⊄ B for each In [1], P. Erdos and A. Hajnal ask the following question: Does there exist for every positive integer k a finite family of finite sets satisfying (i) |F|=k for each (ii) | F∩ G| ≤ 1 for each F, , F ≠ G (iii) does not possess property ? 
Abbott, H. L. An Application of Ramsay's Theorem to a Problem of Erdos and Hajnal. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 515-517. doi: 10.4153/CMB-1965-038-1
@article{10_4153_CMB_1965_038_1,
     author = {Abbott, H. L.},
     title = {An {Application} of {Ramsay's} {Theorem} to a {Problem} of {Erdos} and {Hajnal}},
     journal = {Canadian mathematical bulletin},
     pages = {515--517},
     year = {1965},
     volume = {8},
     number = {4},
     doi = {10.4153/CMB-1965-038-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-038-1/}
}
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