Bounds on maximal families of sets not containing three sets with A boolean AND B subset of C, A not subset of B. Order-a Journal on the Theory of Ordered Sets and Its Applications. 2008;25(3):229-36. Abstract
Bounds on maximal families of sets not containing three sets with A boolean AND B subset of C, A not subset of B
Lower and upper estimates are given on the size of a family of subsets of an n- element set containing no three distinct sets satisfying A boolean AND B subset of C, A not subset of B. This is a sharpening of an earlier result where the same question was solved under the condition that there are no three distinct sets such that A boolean AND B subset of C.