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math.GN2023
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…
math.GN2022
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…