Monomorphisms in spaces with Lindelöf filters
Richard N. Ball, Anthony W. Hager (2007)
Czechoslovak Mathematical Journal
Similarity:
is the category of spaces with filters: an object is a pair , a compact Hausdorff space and a filter of dense open subsets of . A morphism is a continuous function for which whenever . This category arises naturally from considerations in ordered algebra, e.g., Boolean algebra, lattice-ordered groups and rings, and from considerations in general topology, e.g., the theory of the absolute and other covers, locales, and frames, though we shall specifically...