Completeness properties of function rings in pointfree topology
Banaschewski, Bernhard ; Hong, Sung Sa
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003), p. 245-259 / Harvested from Czech Digital Mathematics Library
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This note establishes that the familiar internal characterizations of the Tychonoff spaces whose rings of continuous real-valued functions are complete, or $\sigma$-comp\-lete, as lattice ordered rings already hold in the larger setting of pointfree topology. In addition, we prove the corresponding results for rings of integer-valued functions.

Publié le : 2003-01-01
Classification:  06D22,  54C30,  54G05 
@article{119384,
     author = {Bernhard Banaschewski and Sung Sa Hong},
     title = {Completeness properties of function rings in pointfree topology},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {44},
     year = {2003},
     pages = {245-259},
     zbl = {1098.06006},
     mrnumber = {2026162},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119384}
}

Banaschewski, Bernhard; Hong, Sung Sa. Completeness properties of function rings in pointfree topology. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) pp. 245-259. http://gdmltest.u-ga.fr/item/119384/

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