International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 10, Pages 607-616
doi:10.1155/S0161171203206086

Extended blocker, deletion, and contraction maps on antichains

Abstract

Families of maps on the lattice of all antichains of a finite bounded poset that extend the blocker, deletion, and contraction maps on clutters are considered. Influence of the parameters of the maps is investigated. Order-theoretic extensions of some principal relations for the set-theoretic blocker, deletion, and contraction maps on clutters are presented.