9. Subset collections II

9.1 PIP, monotone and isotone collections

Definition (Pairwise Intersection Property (PIP) (Thampuran, 1965)). Let E be a non-empty set. A collection of subsets of E, denoted $C$ , satisfies the pairwise intersection property (PIP) if the intersection of any pair of members of $C$ is non-empty (p. 59 of

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Bibliography

(1) - ALLAM (A.A), BAKEIR (M.Y.), ABO-TABL (E.A.) - Some methods for generating topologies by relations, - Bulletin of the Malaysian Mathematical Sciences Society, (2), Vol. 31, No.1, pp. 35-45 (2008).
(2) - BALBES (R.), DWINGER (P.) - Distributive Lattices,...

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