Remarks on lattices of contact relations
نویسندگان
چکیده
In the present report, we study collections of contact relations on a fixed Boolean algebra and show that they can be provided with a rich lattice structure. This follows from a representation theorem which associates with each contact relation a closed graph on the ultrafilter space of the underlying Boolean algebra and vice versa. We also consider collections of special contact relations which have gained some importance in qualitative spatial reasoning.
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