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Abstract Bilattices and d-frames are two different kinds of structures with a four-valued interpretation. Whereas d-frames were introduced with their topological semantics in mind, the theory of… Continue Reading
A general theory of presentations for d-frames does not yet exist. We review the difficulties and give sufficient conditions for when they can be overcome. As an application we prove that the… Continue Reading
We address what might be termed the reverse reflection problem: given a monoreflection from a category A onto a subcategory B , when is a given object B ∈ B the reflection of a proper subobject? We… Continue Reading
It is shown that every d-frame admits a complete lattice of quotients. Quotienting may be triggered by a binary relation on one of the two constituent frames, or by changes to the consistency or… Continue Reading
Achim Jung and Drew Moshier developed a Stone-type duality theory for bitopological spaces, amongst others, as a practical tool for solving a particular problem in the theory of stably compact… Continue Reading