Sublocale sets and sublocale lattices
Archivum mathematicum, Tome 42 (2006) no. 4, pp. 409-418
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We present very short and simple proofs of such facts as co-frame distributivity of sublocales, zero-dimensionality of the resulting co-frames, Isbell’s Density Theorem and characteristic properties of fit and subfit frames, using sublocale sets.
Classification :
06D22
Keywords: frames; sublocales; coframe of sublocales; fitness and subfitness
Keywords: frames; sublocales; coframe of sublocales; fitness and subfitness
@article{ARM_2006__42_4_a5,
author = {Picado, Jorge and Pultr, Ale\v{s}},
title = {Sublocale sets and sublocale lattices},
journal = {Archivum mathematicum},
pages = {409--418},
publisher = {mathdoc},
volume = {42},
number = {4},
year = {2006},
mrnumber = {2283021},
zbl = {1164.06313},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_4_a5/}
}
Picado, Jorge; Pultr, Aleš. Sublocale sets and sublocale lattices. Archivum mathematicum, Tome 42 (2006) no. 4, pp. 409-418. http://geodesic.mathdoc.fr/item/ARM_2006__42_4_a5/