4 papers
The coframe of D-sublocales of a locale and the duality
Igor Arrieta, Anna Laura Suarez
The notion of \emph{D-sublocale} is explored. This is the notion analogue to that of sublocale in the duality of spaces. A sublocale of a frame is a D-sublocale if and…
The assembly of a pointfree bispace and its two variations
Anna Laura Suarez
The duality of finitary biframes as pointfree bitopological spaces is explored. In particular, for a finitary biframe the ordered collection of all its pointfree bisu…
The category of finitary biframes as the category of pointfree bispaces
Anna Laura Suarez
The theory of finitary biframes as order-theoretical duals of bitopological spaces is explored. The category of finitary biframes is a coreflective subcategory of that of biframes.…
Revisiting the relation between subspaces and sublocales
Anna Laura Suarez
We revisit results concerning the connection between subspaces of a space and sublocales of its locale of open sets. The approach we present is based on the observation that for ev…