I am not at all sure what you have in mind, but you might find something of interest in:
MR0595106 (83f:46009)
Erné, Marcel; Weck, Sibylle
Order convergence in lattices.
Rocky Mountain J. Math. 10 (1980), no. 4, 805--818.
46A40 (06B30 54H12)
        I am sure that much more is known in case the lattices have additional linear structure like being a l-group or vector lattice.
        Melvin Henriksen
At 12:13 PM 10/17/2003 -0700, you wrote:

Dear Sirs and Madams,
 
I wonder if there are any characterization theorems of the topological spaces coming from the classical o-convergence or natural convergence defined on lattices, and especially on boolean algebras.
 
I would be very grateful if you could help me on this matter.
 
Respectfully,
   Andrei
 
 


Do you Yahoo!?
The New Yahoo! Shopping - with improved product search
Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.