Compactifications and uniformities on sigma frames
Walters-Wayland, Joanne L.
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 189-198 / Harvested from Czech Digital Mathematics Library
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A bijective correspondence between strong inclusions and compactifications in the setting of $\sigma$-frames is presented. The category of uniform $\sigma$-frames is defined and a description of the Samuel compactification is given. It is shown that the Samuel compactification of a uniform frame is completely determined by the $\sigma$-frame consisting of its uniform cozero part, and consequently, any compactification of any frame is so determined.

Publié le : 1991-01-01
Classification:  18B35,  54D35,  54E05,  54E52,  54J05 
@article{116954,
     author = {Joanne L. Walters-Wayland},
     title = {Compactifications and uniformities on sigma frames},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {189-198},
     zbl = {0735.54014},
     mrnumber = {1118301},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116954}
}

Walters-Wayland, Joanne L. Compactifications and uniformities on sigma frames. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 189-198. http://gdmltest.u-ga.fr/item/116954/

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