Completely Distributive

Some articles on completely distributive:

Free Completely Distributive Lattices
... Every poset C can be completed in a completely distributive lattice ... A completely distributive lattice L is called the free completely distributive lattice over a poset C if and only if there is an order embedding such that for every completely distributive ... For every poset C, the free completely distributive lattice over a poset C exists and is unique up to isomorphism ...
Completely Distributive Lattice
... In the mathematical area of order theory, a completely distributive lattice is a complete lattice in which arbitrary joins distribute over arbitrary ... Formally, a complete lattice L is said to be completely distributive if, for any doubly indexed family {xj,k
Completely Distributive Lattice - Examples
... The unit interval, ordered in the natural way, is a completely distributive lattice ... More generally, any complete chain is a completely distributive lattice ... The power set lattice for any set X is a completely distributive lattice ...

Famous quotes containing the word completely:

    The bond between a man and his profession is similar to that which ties him to his country; it is just as complex, often ambivalent, and in general it is understood completely only when it is broken: by exile or emigration in the case of one’s country, by retirement in the case of a trade or profession.
    Primo Levi (1919–1987)