Lower semicontinuous functions with values in a continuous lattice
Gool, Frans
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 505-523 / Harvested from Czech Digital Mathematics Library
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It is proved that for every continuous lattice there is a unique semiuniform structure generating both the order and the Lawson topology. The way below relation can be characterized with this uniform structure. These results are used to extend many of the analytical properties of real-valued l.s.c\. functions to l.s.c\. functions with values in a continuous lattice. The results of this paper have some applications in potential theory.

Publié le : 1992-01-01
Classification:  06B30,  06B35,  31D05,  54C08,  54E15,  54F05 
@article{118518,
     author = {Frans Gool},
     title = {Lower semicontinuous functions with values in a continuous lattice},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {505-523},
     zbl = {0769.06005},
     mrnumber = {1209292},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118518}
}

Gool, Frans. Lower semicontinuous functions with values in a continuous lattice. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 505-523. http://gdmltest.u-ga.fr/item/118518/

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