Geodesic
Booleanization of uniform frames
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 135-146

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Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.
Classification : 06D10, 06E15, 18A40, 18B30, 54B30, 54C10, 54E15
Keywords: Booleanization; uniform frame; uniform space; weakly open maps and homomorphisms 
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Banaschewski, B.; Pultr, A. Booleanization of uniform frames. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 135-146. http://geodesic.mathdoc.fr/item/CMUC_1996__37_1_a7/