Constituents of a Space

Letrepresent fixed subsets of a spaceLet the complement of the setbe and let

A constituent of the set S is the intersection of thefortowhereor 1 ie any intersection

The constituents are all disjoint and have intersection equal toIf all the constituents are non empty the setsare said to be independent.

Example: Let A, B and C be subsets of a space S. The constituents ofwith respect to andare