I found a copy of Lattice Theory (by Birkhoff) in a dusty corner of our library. I just picked it up for fun and seems really interesting. I was mainly interested in geometric modular lattices.
My question is:
Is there a bound on the size of largest distributive sublattice of a modular geometric lattice?
Additionally, I would like to know how to find good books, lecture notes on lattice theory. I would welcome any suggestions about the order of reading it too.
Thanks,
Richard Stanley's book Enumerative Combinatorics is highly recommended.