A note on the lattice of geometries
Juris Hartmanis · Proceedings of the American Mathematical Society · 1957
It has been shown that every finite lattice is isomorphic to a sublattice of the lattice of all geometries on some finite set [1]. Since the corresponding problem for partition lattices is still an important unsolved problem we shall investigate in this note the properties of the lattice of all geometries which it shares with the partition lattices [2 ]. We shall assume familiarity with the definitions and notations of paper [i].