2 citations · 2 across the 6 of their papers we have counts for
7 papers
Canonical extensions via fitted sublocales
Tomáš Jakl, Anna Laura Suarez
We build on a recent result stating that the frame of strongly exact filters for a frame is anti-isomorphic to the coframe of fitted sublocal…
Pervin spaces and Frith frames: bitopological aspects and completion
Célia Borlido, Anna Laura Suarez
A Pervin space is a set equipped with a bounded sublattice of its powerset, while its pointfree version, called Frith frame, consists of a frame equipped with a generating bounded…
A pointfree theory of Pervin spaces
Célia Borlido, Anna Laura Suarez
We lay down the foundations for a pointfree theory of Pervin spaces. A Pervin space is a set equipped with a bounded sublattice of its powerset, and it is known that these objects…
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.…