Geodesic
On Property of Families of Sets
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 133-135

Voir la notice de l'article provenant de la source Cambridge University Press

A family of sets is said to have property if there exists a set B such that B ∩ F ≠ Ø and B ⊅ F for every F ∊ . Such a B will be called suitable with respect to F. It is known (see [3]) that for each positive integer n there exists a family of sets satisfying the following conditions: (a) |F| = n for each F ∊ (b) |F ∩ G| ≤ for F, G ∊ F ≠ G (c) does not have property 
Abbott, H. L. On Property of Families of Sets. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 133-135. doi: 10.4153/CMB-1975-024-0
@article{10_4153_CMB_1975_024_0,
     author = {Abbott, H. L.},
     title = {On {Property} of {Families} of {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {133--135},
     year = {1975},
     volume = {18},
     number = {1},
     doi = {10.4153/CMB-1975-024-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-024-0/}
}
TY  - JOUR
AU  - Abbott, H. L.
TI  - On Property of Families of Sets
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 133
EP  - 135
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-024-0/
DO  - 10.4153/CMB-1975-024-0
ID  - 10_4153_CMB_1975_024_0
ER  - 
%0 Journal Article
%A Abbott, H. L.
%T On Property of Families of Sets
%J Canadian mathematical bulletin
%D 1975
%P 133-135
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-024-0/
%R 10.4153/CMB-1975-024-0
%F 10_4153_CMB_1975_024_0

[1] 1. Abbott, H. L. and Hanson, D., On a combinatorial problem of Erdös, Can. Math. Bull. 12 (1969), 823-830. Google Scholar

[2] 2. Abbott, H. L., An application of Ramsey's theorem to a problem of Erdös and Hajnal, Can. Math. Bull. 8 (1965), 515-518. Google Scholar

[3] 3. Erdös, P. and Hajnal, A., On chromatic numbers of graphs and set systems, Acta Math. Acad. Sci. Hung. 17 (1966), 61-99. Google Scholar

[4] 4. Lovász, L., On the chromatic number of finite set systems. Acta Math. Acad. Sci. Hung. 19 (1968), 59-67. Google Scholar

[5] 5. Fekete, M., Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzgahligen Koeffizienten, Math. Zeit. 17 (1923) 228-249. Google Scholar

Cité par Sources :