C- and C*-quotients in pointfree topology
Richard N. Ball ; Joanne Walters-Wayland
GDML_Books, (2002), p.

We generalize a major portion of the classical theory of C- and C*-embedded subspaces to pointfree topology, where the corresponding notions are frame C- and C*-quotients. The central results characterize these quotients and generalize Urysohn's Extension Theorem, among others. The proofs require calculations in CL, the archimedean f-ring of frame maps from the topology of the reals into the frame L. We give a number of applications of the central results.

EUDML-ID : urn:eudml:doc:285985
@book{bwmeta1.element.bwnjournal-rm-doi-10_4064-dm412-0-1,
     author = {Richard N. Ball and Joanne Walters-Wayland},
     title = {C- and C*-quotients in pointfree topology},
     series = {GDML\_Books},
     year = {2002},
     zbl = {1012.54025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm412-0-1}
}
Richard N. Ball; Joanne Walters-Wayland. C- and C*-quotients in pointfree topology. GDML_Books (2002),  http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm412-0-1/