Bounds on maximal families of sets not containing three sets with A ∩ B ⊂ C , A 6 ⊂ B

@inproceedings{Carroll2012BoundsOM,
title={Bounds on maximal families of sets not containing three sets with A ∩ B ⊂ C , A 6 ⊂ B},
author={Teena Carroll and Gyula O. H. Katona},
year={2012}
}

There are a very large number of generalizations and analogues of this theorem. Here we will mention only some results where the conditions on F exclude certain configurations which can be expressed by inclusion only ∗School of Mathematics, Georgia Institute of Technology, Atlanta GA †The second author was supported by the Hungarian National Foundation for Scientific Research grant numbers NK062321, AT048826, the Bulgarian National Science Fund under Grant IO-03/2005 and the projects of the… CONTINUE READING